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Finding the Fourth Proportional to 5,114.56, 7,652.40 and 3,161.92

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Solution

The fourth proportional to 5,114.56, 7,652.40 and 3,161.92 is: 4,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.56 : 7,652.40 = 3,161.92 : x
  2. Step 2: Convert to fraction form
    5,114.56/7,652.40 = 3,161.92/x
  3. Step 3: Cross multiply
    5,114.56x = 7,652.40 × 3,161.92
  4. Step 4: Simplify right side
    5,114.56x = 24,196,276.61
  5. Step 5: Solve for x
    x = 24,196,276.61/5,114.56
  6. Step 6: Final answer
    x = 4,730.86

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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.