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Finding the Fourth Proportional to 3,920.01, 5,402.88 and 3,735.47

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Solution

The fourth proportional to 3,920.01, 5,402.88 and 3,735.47 is: 5,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.01 : 5,402.88 = 3,735.47 : x
  2. Step 2: Convert to fraction form
    3,920.01/5,402.88 = 3,735.47/x
  3. Step 3: Cross multiply
    3,920.01x = 5,402.88 × 3,735.47
  4. Step 4: Simplify right side
    3,920.01x = 20,182,269.14
  5. Step 5: Solve for x
    x = 20,182,269.14/3,920.01
  6. Step 6: Final answer
    x = 5,148.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.