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Finding the Fourth Proportional to 5,269.52, 7,267.92 and 3,280.16

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Solution

The fourth proportional to 5,269.52, 7,267.92 and 3,280.16 is: 4,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.52 : 7,267.92 = 3,280.16 : x
  2. Step 2: Convert to fraction form
    5,269.52/7,267.92 = 3,280.16/x
  3. Step 3: Cross multiply
    5,269.52x = 7,267.92 × 3,280.16
  4. Step 4: Simplify right side
    5,269.52x = 23,839,940.47
  5. Step 5: Solve for x
    x = 23,839,940.47/5,269.52
  6. Step 6: Final answer
    x = 4,524.12

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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.