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Finding the Fourth Proportional to 4,092.96, 5,647.80 and 2,414.88

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Solution

The fourth proportional to 4,092.96, 5,647.80 and 2,414.88 is: 3,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.96 : 5,647.80 = 2,414.88 : x
  2. Step 2: Convert to fraction form
    4,092.96/5,647.80 = 2,414.88/x
  3. Step 3: Cross multiply
    4,092.96x = 5,647.80 × 2,414.88
  4. Step 4: Simplify right side
    4,092.96x = 13,638,759.26
  5. Step 5: Solve for x
    x = 13,638,759.26/4,092.96
  6. Step 6: Final answer
    x = 3,332.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.