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Finding the Fourth Proportional to 5,151.30, 7,720.18 and 2,931.15

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Solution

The fourth proportional to 5,151.30, 7,720.18 and 2,931.15 is: 4,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.30 : 7,720.18 = 2,931.15 : x
  2. Step 2: Convert to fraction form
    5,151.30/7,720.18 = 2,931.15/x
  3. Step 3: Cross multiply
    5,151.30x = 7,720.18 × 2,931.15
  4. Step 4: Simplify right side
    5,151.30x = 22,629,005.61
  5. Step 5: Solve for x
    x = 22,629,005.61/5,151.30
  6. Step 6: Final answer
    x = 4,392.87

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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.