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Finding the Fourth Proportional to 3,691.48, 5,535.39 and 1,610.58

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Solution

The fourth proportional to 3,691.48, 5,535.39 and 1,610.58 is: 2,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.48 : 5,535.39 = 1,610.58 : x
  2. Step 2: Convert to fraction form
    3,691.48/5,535.39 = 1,610.58/x
  3. Step 3: Cross multiply
    3,691.48x = 5,535.39 × 1,610.58
  4. Step 4: Simplify right side
    3,691.48x = 8,915,188.43
  5. Step 5: Solve for x
    x = 8,915,188.43/3,691.48
  6. Step 6: Final answer
    x = 2,415.07

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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.