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Finding the Fourth Proportional to 3,460.64, 5,191.83 and 995.46

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Solution

The fourth proportional to 3,460.64, 5,191.83 and 995.46 is: 1,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.64 : 5,191.83 = 995.46 : x
  2. Step 2: Convert to fraction form
    3,460.64/5,191.83 = 995.46/x
  3. Step 3: Cross multiply
    3,460.64x = 5,191.83 × 995.46
  4. Step 4: Simplify right side
    3,460.64x = 5,168,239.62
  5. Step 5: Solve for x
    x = 5,168,239.62/3,460.64
  6. Step 6: Final answer
    x = 1,493.44

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Double scale
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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.