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Finding the Fourth Proportional to 5,254.88, 7,882.36 and 1,359.05

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Solution

The fourth proportional to 5,254.88, 7,882.36 and 1,359.05 is: 2,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.88 : 7,882.36 = 1,359.05 : x
  2. Step 2: Convert to fraction form
    5,254.88/7,882.36 = 1,359.05/x
  3. Step 3: Cross multiply
    5,254.88x = 7,882.36 × 1,359.05
  4. Step 4: Simplify right side
    5,254.88x = 10,712,478.55
  5. Step 5: Solve for x
    x = 10,712,478.55/5,254.88
  6. Step 6: Final answer
    x = 2,038.58

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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.