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Finding the Fourth Proportional to 3,862.56, 5,793.78 and 1,554

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Solution

The fourth proportional to 3,862.56, 5,793.78 and 1,554 is: 2,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.56 : 5,793.78 = 1,554 : x
  2. Step 2: Convert to fraction form
    3,862.56/5,793.78 = 1,554/x
  3. Step 3: Cross multiply
    3,862.56x = 5,793.78 × 1,554
  4. Step 4: Simplify right side
    3,862.56x = 9,003,534.12
  5. Step 5: Solve for x
    x = 9,003,534.12/3,862.56
  6. Step 6: Final answer
    x = 2,330.98

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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.