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Finding the Fourth Proportional to 3,726.82, 5,142.81 and 2,154.88

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Solution

The fourth proportional to 3,726.82, 5,142.81 and 2,154.88 is: 2,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.82 : 5,142.81 = 2,154.88 : x
  2. Step 2: Convert to fraction form
    3,726.82/5,142.81 = 2,154.88/x
  3. Step 3: Cross multiply
    3,726.82x = 5,142.81 × 2,154.88
  4. Step 4: Simplify right side
    3,726.82x = 11,082,138.41
  5. Step 5: Solve for x
    x = 11,082,138.41/3,726.82
  6. Step 6: Final answer
    x = 2,973.62

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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.