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Finding the Fourth Proportional to 5,254.62, 7,882.20 and 1,359.06

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Solution

The fourth proportional to 5,254.62, 7,882.20 and 1,359.06 is: 2,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.62 : 7,882.20 = 1,359.06 : x
  2. Step 2: Convert to fraction form
    5,254.62/7,882.20 = 1,359.06/x
  3. Step 3: Cross multiply
    5,254.62x = 7,882.20 × 1,359.06
  4. Step 4: Simplify right side
    5,254.62x = 10,712,382.73
  5. Step 5: Solve for x
    x = 10,712,382.73/5,254.62
  6. Step 6: Final answer
    x = 2,038.66

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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.