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Finding the Fourth Proportional to 5,254.77, 7,882.13 and 1,557.02

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Solution

The fourth proportional to 5,254.77, 7,882.13 and 1,557.02 is: 2,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.77 : 7,882.13 = 1,557.02 : x
  2. Step 2: Convert to fraction form
    5,254.77/7,882.13 = 1,557.02/x
  3. Step 3: Cross multiply
    5,254.77x = 7,882.13 × 1,557.02
  4. Step 4: Simplify right side
    5,254.77x = 12,272,634.05
  5. Step 5: Solve for x
    x = 12,272,634.05/5,254.77
  6. Step 6: Final answer
    x = 2,335.52

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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.