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Finding the Fourth Proportional to 5,614.43, 7,748.27 and 3,225.15

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Solution

The fourth proportional to 5,614.43, 7,748.27 and 3,225.15 is: 4,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.43 : 7,748.27 = 3,225.15 : x
  2. Step 2: Convert to fraction form
    5,614.43/7,748.27 = 3,225.15/x
  3. Step 3: Cross multiply
    5,614.43x = 7,748.27 × 3,225.15
  4. Step 4: Simplify right side
    5,614.43x = 24,989,316.86
  5. Step 5: Solve for x
    x = 24,989,316.86/5,614.43
  6. Step 6: Final answer
    x = 4,450.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.