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Finding the Fourth Proportional to 3,424.63, 4,725.88 and 1,932.53

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Solution

The fourth proportional to 3,424.63, 4,725.88 and 1,932.53 is: 2,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.63 : 4,725.88 = 1,932.53 : x
  2. Step 2: Convert to fraction form
    3,424.63/4,725.88 = 1,932.53/x
  3. Step 3: Cross multiply
    3,424.63x = 4,725.88 × 1,932.53
  4. Step 4: Simplify right side
    3,424.63x = 9,132,876.42
  5. Step 5: Solve for x
    x = 9,132,876.42/3,424.63
  6. Step 6: Final answer
    x = 2,666.82

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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.