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Finding the Fourth Proportional to 4,177.59, 6,229.51 and 4,140.09

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Solution

The fourth proportional to 4,177.59, 6,229.51 and 4,140.09 is: 6,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.59 : 6,229.51 = 4,140.09 : x
  2. Step 2: Convert to fraction form
    4,177.59/6,229.51 = 4,140.09/x
  3. Step 3: Cross multiply
    4,177.59x = 6,229.51 × 4,140.09
  4. Step 4: Simplify right side
    4,177.59x = 25,790,732.06
  5. Step 5: Solve for x
    x = 25,790,732.06/4,177.59
  6. Step 6: Final answer
    x = 6,173.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.