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Finding the Fourth Proportional to 4,171.81, 5,757.10 and 2,599.91

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Solution

The fourth proportional to 4,171.81, 5,757.10 and 2,599.91 is: 3,587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.81 : 5,757.10 = 2,599.91 : x
  2. Step 2: Convert to fraction form
    4,171.81/5,757.10 = 2,599.91/x
  3. Step 3: Cross multiply
    4,171.81x = 5,757.10 × 2,599.91
  4. Step 4: Simplify right side
    4,171.81x = 14,967,941.86
  5. Step 5: Solve for x
    x = 14,967,941.86/4,171.81
  6. Step 6: Final answer
    x = 3,587.88

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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.