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Finding the Fourth Proportional to 5,269.92, 7,907.49 and 2,152.14

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Solution

The fourth proportional to 5,269.92, 7,907.49 and 2,152.14 is: 3,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.92 : 7,907.49 = 2,152.14 : x
  2. Step 2: Convert to fraction form
    5,269.92/7,907.49 = 2,152.14/x
  3. Step 3: Cross multiply
    5,269.92x = 7,907.49 × 2,152.14
  4. Step 4: Simplify right side
    5,269.92x = 17,018,025.53
  5. Step 5: Solve for x
    x = 17,018,025.53/5,269.92
  6. Step 6: Final answer
    x = 3,229.28

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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.