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Finding the Fourth Proportional to 2,592.42, 3,562.79 and 2,428.39

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Solution

The fourth proportional to 2,592.42, 3,562.79 and 2,428.39 is: 3,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.42 : 3,562.79 = 2,428.39 : x
  2. Step 2: Convert to fraction form
    2,592.42/3,562.79 = 2,428.39/x
  3. Step 3: Cross multiply
    2,592.42x = 3,562.79 × 2,428.39
  4. Step 4: Simplify right side
    2,592.42x = 8,651,843.61
  5. Step 5: Solve for x
    x = 8,651,843.61/2,592.42
  6. Step 6: Final answer
    x = 3,337.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.