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Finding the Fourth Proportional to 4,101.38, 5,659.71 and 2,332.79

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Solution

The fourth proportional to 4,101.38, 5,659.71 and 2,332.79 is: 3,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.38 : 5,659.71 = 2,332.79 : x
  2. Step 2: Convert to fraction form
    4,101.38/5,659.71 = 2,332.79/x
  3. Step 3: Cross multiply
    4,101.38x = 5,659.71 × 2,332.79
  4. Step 4: Simplify right side
    4,101.38x = 13,202,914.89
  5. Step 5: Solve for x
    x = 13,202,914.89/4,101.38
  6. Step 6: Final answer
    x = 3,219.14

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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.