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Finding the Fourth Proportional to 5,254.92, 7,882.29 and 1,359.30

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Solution

The fourth proportional to 5,254.92, 7,882.29 and 1,359.30 is: 2,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.92 : 7,882.29 = 1,359.30 : x
  2. Step 2: Convert to fraction form
    5,254.92/7,882.29 = 1,359.30/x
  3. Step 3: Cross multiply
    5,254.92x = 7,882.29 × 1,359.30
  4. Step 4: Simplify right side
    5,254.92x = 10,714,396.80
  5. Step 5: Solve for x
    x = 10,714,396.80/5,254.92
  6. Step 6: Final answer
    x = 2,038.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.