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Finding the Fourth Proportional to 3,917.41, 5,876.14 and 995.71

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Solution

The fourth proportional to 3,917.41, 5,876.14 and 995.71 is: 1,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.41 : 5,876.14 = 995.71 : x
  2. Step 2: Convert to fraction form
    3,917.41/5,876.14 = 995.71/x
  3. Step 3: Cross multiply
    3,917.41x = 5,876.14 × 995.71
  4. Step 4: Simplify right side
    3,917.41x = 5,850,931.36
  5. Step 5: Solve for x
    x = 5,850,931.36/3,917.41
  6. Step 6: Final answer
    x = 1,493.57

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.