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Finding the Fourth Proportional to 3,917.19, 5,875.82 and 995.49

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Solution

The fourth proportional to 3,917.19, 5,875.82 and 995.49 is: 1,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.19 : 5,875.82 = 995.49 : x
  2. Step 2: Convert to fraction form
    3,917.19/5,875.82 = 995.49/x
  3. Step 3: Cross multiply
    3,917.19x = 5,875.82 × 995.49
  4. Step 4: Simplify right side
    3,917.19x = 5,849,315.07
  5. Step 5: Solve for x
    x = 5,849,315.07/3,917.19
  6. Step 6: Final answer
    x = 1,493.24

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