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Finding the Fourth Proportional to 3,654.81, 5,044.59 and 2,256.75

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Solution

The fourth proportional to 3,654.81, 5,044.59 and 2,256.75 is: 3,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.81 : 5,044.59 = 2,256.75 : x
  2. Step 2: Convert to fraction form
    3,654.81/5,044.59 = 2,256.75/x
  3. Step 3: Cross multiply
    3,654.81x = 5,044.59 × 2,256.75
  4. Step 4: Simplify right side
    3,654.81x = 11,384,378.48
  5. Step 5: Solve for x
    x = 11,384,378.48/3,654.81
  6. Step 6: Final answer
    x = 3,114.90

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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.