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Finding the Fourth Proportional to 3,654.75, 5,043.56 and 2,257.50

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Solution

The fourth proportional to 3,654.75, 5,043.56 and 2,257.50 is: 3,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.75 : 5,043.56 = 2,257.50 : x
  2. Step 2: Convert to fraction form
    3,654.75/5,043.56 = 2,257.50/x
  3. Step 3: Cross multiply
    3,654.75x = 5,043.56 × 2,257.50
  4. Step 4: Simplify right side
    3,654.75x = 11,385,825.41
  5. Step 5: Solve for x
    x = 11,385,825.41/3,654.75
  6. Step 6: Final answer
    x = 3,115.35

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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.