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Finding the Fourth Proportional to 2,572.39, 3,836.00 and 2,549

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Solution

The fourth proportional to 2,572.39, 3,836.00 and 2,549 is: 3,801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.39 : 3,836.00 = 2,549 : x
  2. Step 2: Convert to fraction form
    2,572.39/3,836.00 = 2,549/x
  3. Step 3: Cross multiply
    2,572.39x = 3,836.00 × 2,549
  4. Step 4: Simplify right side
    2,572.39x = 9,777,951.26
  5. Step 5: Solve for x
    x = 9,777,951.26/2,572.39
  6. Step 6: Final answer
    x = 3,801.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.