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Finding the Fourth Proportional to 5,428.64, 8,130.72 and 2,502.56

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Solution

The fourth proportional to 5,428.64, 8,130.72 and 2,502.56 is: 3,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.64 : 8,130.72 = 2,502.56 : x
  2. Step 2: Convert to fraction form
    5,428.64/8,130.72 = 2,502.56/x
  3. Step 3: Cross multiply
    5,428.64x = 8,130.72 × 2,502.56
  4. Step 4: Simplify right side
    5,428.64x = 20,347,614.64
  5. Step 5: Solve for x
    x = 20,347,614.64/5,428.64
  6. Step 6: Final answer
    x = 3,748.20

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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.