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Finding the Fourth Proportional to 5,101.57, 7,651.47 and 1,402.92

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Solution

The fourth proportional to 5,101.57, 7,651.47 and 1,402.92 is: 2,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.57 : 7,651.47 = 1,402.92 : x
  2. Step 2: Convert to fraction form
    5,101.57/7,651.47 = 1,402.92/x
  3. Step 3: Cross multiply
    5,101.57x = 7,651.47 × 1,402.92
  4. Step 4: Simplify right side
    5,101.57x = 10,734,400.29
  5. Step 5: Solve for x
    x = 10,734,400.29/5,101.57
  6. Step 6: Final answer
    x = 2,104.14

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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.