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Finding the Fourth Proportional to 3,645.82, 5,032.22 and 2,154.28

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Solution

The fourth proportional to 3,645.82, 5,032.22 and 2,154.28 is: 2,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.82 : 5,032.22 = 2,154.28 : x
  2. Step 2: Convert to fraction form
    3,645.82/5,032.22 = 2,154.28/x
  3. Step 3: Cross multiply
    3,645.82x = 5,032.22 × 2,154.28
  4. Step 4: Simplify right side
    3,645.82x = 10,840,774.97
  5. Step 5: Solve for x
    x = 10,840,774.97/3,645.82
  6. Step 6: Final answer
    x = 2,973.48

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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.