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Finding the Fourth Proportional to 3,726.61, 5,144.92 and 3,348.34

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Solution

The fourth proportional to 3,726.61, 5,144.92 and 3,348.34 is: 4,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.61 : 5,144.92 = 3,348.34 : x
  2. Step 2: Convert to fraction form
    3,726.61/5,144.92 = 3,348.34/x
  3. Step 3: Cross multiply
    3,726.61x = 5,144.92 × 3,348.34
  4. Step 4: Simplify right side
    3,726.61x = 17,226,920.20
  5. Step 5: Solve for x
    x = 17,226,920.20/3,726.61
  6. Step 6: Final answer
    x = 4,622.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.