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Finding the Fourth Proportional to 3,587.99, 4,951.49 and 2,171.71

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Solution

The fourth proportional to 3,587.99, 4,951.49 and 2,171.71 is: 2,997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.99 : 4,951.49 = 2,171.71 : x
  2. Step 2: Convert to fraction form
    3,587.99/4,951.49 = 2,171.71/x
  3. Step 3: Cross multiply
    3,587.99x = 4,951.49 × 2,171.71
  4. Step 4: Simplify right side
    3,587.99x = 10,753,200.35
  5. Step 5: Solve for x
    x = 10,753,200.35/3,587.99
  6. Step 6: Final answer
    x = 2,997.00

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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.