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Finding the Fourth Proportional to 2,801.06, 3,868.20 and 2,538.62

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Solution

The fourth proportional to 2,801.06, 3,868.20 and 2,538.62 is: 3,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.06 : 3,868.20 = 2,538.62 : x
  2. Step 2: Convert to fraction form
    2,801.06/3,868.20 = 2,538.62/x
  3. Step 3: Cross multiply
    2,801.06x = 3,868.20 × 2,538.62
  4. Step 4: Simplify right side
    2,801.06x = 9,819,889.88
  5. Step 5: Solve for x
    x = 9,819,889.88/2,801.06
  6. Step 6: Final answer
    x = 3,505.78

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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.