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Finding the Fourth Proportional to 5,254.93, 7,882.36 and 1,557.18

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Solution

The fourth proportional to 5,254.93, 7,882.36 and 1,557.18 is: 2,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.93 : 7,882.36 = 1,557.18 : x
  2. Step 2: Convert to fraction form
    5,254.93/7,882.36 = 1,557.18/x
  3. Step 3: Cross multiply
    5,254.93x = 7,882.36 × 1,557.18
  4. Step 4: Simplify right side
    5,254.93x = 12,274,258.21
  5. Step 5: Solve for x
    x = 12,274,258.21/5,254.93
  6. Step 6: Final answer
    x = 2,335.76

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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.