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Finding the Fourth Proportional to 4,124.55, 5,691.81 and 2,332

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Solution

The fourth proportional to 4,124.55, 5,691.81 and 2,332 is: 3,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.55 : 5,691.81 = 2,332 : x
  2. Step 2: Convert to fraction form
    4,124.55/5,691.81 = 2,332/x
  3. Step 3: Cross multiply
    4,124.55x = 5,691.81 × 2,332
  4. Step 4: Simplify right side
    4,124.55x = 13,273,300.92
  5. Step 5: Solve for x
    x = 13,273,300.92/4,124.55
  6. Step 6: Final answer
    x = 3,218.12

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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.