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Finding the Fourth Proportional to 3,654.57, 5,039.41 and 2,945.66

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Solution

The fourth proportional to 3,654.57, 5,039.41 and 2,945.66 is: 4,061.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.57 : 5,039.41 = 2,945.66 : x
  2. Step 2: Convert to fraction form
    3,654.57/5,039.41 = 2,945.66/x
  3. Step 3: Cross multiply
    3,654.57x = 5,039.41 × 2,945.66
  4. Step 4: Simplify right side
    3,654.57x = 14,844,386.33
  5. Step 5: Solve for x
    x = 14,844,386.33/3,654.57
  6. Step 6: Final answer
    x = 4,061.88

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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.