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Finding the Fourth Proportional to 5,074.52, 7,614.05 and 3,225.15

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Solution

The fourth proportional to 5,074.52, 7,614.05 and 3,225.15 is: 4,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.52 : 7,614.05 = 3,225.15 : x
  2. Step 2: Convert to fraction form
    5,074.52/7,614.05 = 3,225.15/x
  3. Step 3: Cross multiply
    5,074.52x = 7,614.05 × 3,225.15
  4. Step 4: Simplify right side
    5,074.52x = 24,556,437.23
  5. Step 5: Solve for x
    x = 24,556,437.23/5,074.52
  6. Step 6: Final answer
    x = 4,839.17

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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.