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Finding the Fourth Proportional to 3,538.64, 4,882.02 and 2,122.36

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Solution

The fourth proportional to 3,538.64, 4,882.02 and 2,122.36 is: 2,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.64 : 4,882.02 = 2,122.36 : x
  2. Step 2: Convert to fraction form
    3,538.64/4,882.02 = 2,122.36/x
  3. Step 3: Cross multiply
    3,538.64x = 4,882.02 × 2,122.36
  4. Step 4: Simplify right side
    3,538.64x = 10,361,403.97
  5. Step 5: Solve for x
    x = 10,361,403.97/3,538.64
  6. Step 6: Final answer
    x = 2,928.08

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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.