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Finding the Fourth Proportional to 3,451.52, 4,760.16 and 2,332.16

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Solution

The fourth proportional to 3,451.52, 4,760.16 and 2,332.16 is: 3,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.52 : 4,760.16 = 2,332.16 : x
  2. Step 2: Convert to fraction form
    3,451.52/4,760.16 = 2,332.16/x
  3. Step 3: Cross multiply
    3,451.52x = 4,760.16 × 2,332.16
  4. Step 4: Simplify right side
    3,451.52x = 11,101,454.75
  5. Step 5: Solve for x
    x = 11,101,454.75/3,451.52
  6. Step 6: Final answer
    x = 3,216.40

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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.