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Finding the Fourth Proportional to 3,952.52, 5,924.52 and 2,101.78

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Solution

The fourth proportional to 3,952.52, 5,924.52 and 2,101.78 is: 3,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.52 : 5,924.52 = 2,101.78 : x
  2. Step 2: Convert to fraction form
    3,952.52/5,924.52 = 2,101.78/x
  3. Step 3: Cross multiply
    3,952.52x = 5,924.52 × 2,101.78
  4. Step 4: Simplify right side
    3,952.52x = 12,452,037.65
  5. Step 5: Solve for x
    x = 12,452,037.65/3,952.52
  6. Step 6: Final answer
    x = 3,150.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.