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Finding the Fourth Proportional to 5,382.90, 8,069.92 and 2,265.32

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Solution

The fourth proportional to 5,382.90, 8,069.92 and 2,265.32 is: 3,396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.90 : 8,069.92 = 2,265.32 : x
  2. Step 2: Convert to fraction form
    5,382.90/8,069.92 = 2,265.32/x
  3. Step 3: Cross multiply
    5,382.90x = 8,069.92 × 2,265.32
  4. Step 4: Simplify right side
    5,382.90x = 18,280,951.17
  5. Step 5: Solve for x
    x = 18,280,951.17/5,382.90
  6. Step 6: Final answer
    x = 3,396.12

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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.