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Finding the Fourth Proportional to 4,101.39, 5,660.37 and 2,332.71

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Solution

The fourth proportional to 4,101.39, 5,660.37 and 2,332.71 is: 3,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.39 : 5,660.37 = 2,332.71 : x
  2. Step 2: Convert to fraction form
    4,101.39/5,660.37 = 2,332.71/x
  3. Step 3: Cross multiply
    4,101.39x = 5,660.37 × 2,332.71
  4. Step 4: Simplify right side
    4,101.39x = 13,204,001.70
  5. Step 5: Solve for x
    x = 13,204,001.70/4,101.39
  6. Step 6: Final answer
    x = 3,219.40

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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.