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Finding the Fourth Proportional to 4,765.96, 7,151.10 and 2,424.52

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Solution

The fourth proportional to 4,765.96, 7,151.10 and 2,424.52 is: 3,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.96 : 7,151.10 = 2,424.52 : x
  2. Step 2: Convert to fraction form
    4,765.96/7,151.10 = 2,424.52/x
  3. Step 3: Cross multiply
    4,765.96x = 7,151.10 × 2,424.52
  4. Step 4: Simplify right side
    4,765.96x = 17,337,984.97
  5. Step 5: Solve for x
    x = 17,337,984.97/4,765.96
  6. Step 6: Final answer
    x = 3,637.88

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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.