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Finding the Fourth Proportional to 5,614.71, 7,748.82 and 3,225.02

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Solution

The fourth proportional to 5,614.71, 7,748.82 and 3,225.02 is: 4,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.71 : 7,748.82 = 3,225.02 : x
  2. Step 2: Convert to fraction form
    5,614.71/7,748.82 = 3,225.02/x
  3. Step 3: Cross multiply
    5,614.71x = 7,748.82 × 3,225.02
  4. Step 4: Simplify right side
    5,614.71x = 24,990,060.73
  5. Step 5: Solve for x
    x = 24,990,060.73/5,614.71
  6. Step 6: Final answer
    x = 4,450.82

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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.