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Finding the Fourth Proportional to 4,092.59, 5,647.75 and 2,414.00

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Solution

The fourth proportional to 4,092.59, 5,647.75 and 2,414.00 is: 3,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.59 : 5,647.75 = 2,414.00 : x
  2. Step 2: Convert to fraction form
    4,092.59/5,647.75 = 2,414.00/x
  3. Step 3: Cross multiply
    4,092.59x = 5,647.75 × 2,414.00
  4. Step 4: Simplify right side
    4,092.59x = 13,633,676.58
  5. Step 5: Solve for x
    x = 13,633,676.58/4,092.59
  6. Step 6: Final answer
    x = 3,331.31

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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.