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Finding the Fourth Proportional to 3,658.25, 5,489.00 and 2,671.97

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Solution

The fourth proportional to 3,658.25, 5,489.00 and 2,671.97 is: 4,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.25 : 5,489.00 = 2,671.97 : x
  2. Step 2: Convert to fraction form
    3,658.25/5,489.00 = 2,671.97/x
  3. Step 3: Cross multiply
    3,658.25x = 5,489.00 × 2,671.97
  4. Step 4: Simplify right side
    3,658.25x = 14,666,402.53
  5. Step 5: Solve for x
    x = 14,666,402.53/3,658.25
  6. Step 6: Final answer
    x = 4,009.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.