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Finding the Fourth Proportional to 4,777.96, 7,155.64 and 2,432.20

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Solution

The fourth proportional to 4,777.96, 7,155.64 and 2,432.20 is: 3,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.96 : 7,155.64 = 2,432.20 : x
  2. Step 2: Convert to fraction form
    4,777.96/7,155.64 = 2,432.20/x
  3. Step 3: Cross multiply
    4,777.96x = 7,155.64 × 2,432.20
  4. Step 4: Simplify right side
    4,777.96x = 17,403,947.61
  5. Step 5: Solve for x
    x = 17,403,947.61/4,777.96
  6. Step 6: Final answer
    x = 3,642.55

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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.