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Finding the Fourth Proportional to 3,989.52, 5,506.02 and 2,221.38

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Solution

The fourth proportional to 3,989.52, 5,506.02 and 2,221.38 is: 3,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.52 : 5,506.02 = 2,221.38 : x
  2. Step 2: Convert to fraction form
    3,989.52/5,506.02 = 2,221.38/x
  3. Step 3: Cross multiply
    3,989.52x = 5,506.02 × 2,221.38
  4. Step 4: Simplify right side
    3,989.52x = 12,230,962.71
  5. Step 5: Solve for x
    x = 12,230,962.71/3,989.52
  6. Step 6: Final answer
    x = 3,065.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.