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Finding the Fourth Proportional to 5,638.61, 8,454.17 and 2,257.27

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Solution

The fourth proportional to 5,638.61, 8,454.17 and 2,257.27 is: 3,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.61 : 8,454.17 = 2,257.27 : x
  2. Step 2: Convert to fraction form
    5,638.61/8,454.17 = 2,257.27/x
  3. Step 3: Cross multiply
    5,638.61x = 8,454.17 × 2,257.27
  4. Step 4: Simplify right side
    5,638.61x = 19,083,328.82
  5. Step 5: Solve for x
    x = 19,083,328.82/5,638.61
  6. Step 6: Final answer
    x = 3,384.40

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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.