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Finding the Fourth Proportional to 5,254.92, 7,880.16 and 2,882.40

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Solution

The fourth proportional to 5,254.92, 7,880.16 and 2,882.40 is: 4,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.92 : 7,880.16 = 2,882.40 : x
  2. Step 2: Convert to fraction form
    5,254.92/7,880.16 = 2,882.40/x
  3. Step 3: Cross multiply
    5,254.92x = 7,880.16 × 2,882.40
  4. Step 4: Simplify right side
    5,254.92x = 22,713,773.18
  5. Step 5: Solve for x
    x = 22,713,773.18/5,254.92
  6. Step 6: Final answer
    x = 4,322.38

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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.