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Finding the Fourth Proportional to 4,374, 6,548.76 and 2,726.44

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Solution

The fourth proportional to 4,374, 6,548.76 and 2,726.44 is: 4,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374 : 6,548.76 = 2,726.44 : x
  2. Step 2: Convert to fraction form
    4,374/6,548.76 = 2,726.44/x
  3. Step 3: Cross multiply
    4,374x = 6,548.76 × 2,726.44
  4. Step 4: Simplify right side
    4,374x = 17,854,801.21
  5. Step 5: Solve for x
    x = 17,854,801.21/4,374
  6. Step 6: Final answer
    x = 4,082.03

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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.