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Finding the Fourth Proportional to 3,868.57, 5,338.73 and 2,275.34

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Solution

The fourth proportional to 3,868.57, 5,338.73 and 2,275.34 is: 3,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.57 : 5,338.73 = 2,275.34 : x
  2. Step 2: Convert to fraction form
    3,868.57/5,338.73 = 2,275.34/x
  3. Step 3: Cross multiply
    3,868.57x = 5,338.73 × 2,275.34
  4. Step 4: Simplify right side
    3,868.57x = 12,147,404.91
  5. Step 5: Solve for x
    x = 12,147,404.91/3,868.57
  6. Step 6: Final answer
    x = 3,140.03

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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.