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Finding the Fourth Proportional to 3,424.52, 4,725.24 and 1,932.14

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Solution

The fourth proportional to 3,424.52, 4,725.24 and 1,932.14 is: 2,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.52 : 4,725.24 = 1,932.14 : x
  2. Step 2: Convert to fraction form
    3,424.52/4,725.24 = 1,932.14/x
  3. Step 3: Cross multiply
    3,424.52x = 4,725.24 × 1,932.14
  4. Step 4: Simplify right side
    3,424.52x = 9,129,825.21
  5. Step 5: Solve for x
    x = 9,129,825.21/3,424.52
  6. Step 6: Final answer
    x = 2,666.02

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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.