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Finding the Fourth Proportional to 3,726.28, 5,142.28 and 2,154.36

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Solution

The fourth proportional to 3,726.28, 5,142.28 and 2,154.36 is: 2,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.28 : 5,142.28 = 2,154.36 : x
  2. Step 2: Convert to fraction form
    3,726.28/5,142.28 = 2,154.36/x
  3. Step 3: Cross multiply
    3,726.28x = 5,142.28 × 2,154.36
  4. Step 4: Simplify right side
    3,726.28x = 11,078,322.34
  5. Step 5: Solve for x
    x = 11,078,322.34/3,726.28
  6. Step 6: Final answer
    x = 2,973.02

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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.