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Finding the Fourth Proportional to 3,868.86, 5,338.92 and 2,275.53

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Solution

The fourth proportional to 3,868.86, 5,338.92 and 2,275.53 is: 3,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.86 : 5,338.92 = 2,275.53 : x
  2. Step 2: Convert to fraction form
    3,868.86/5,338.92 = 2,275.53/x
  3. Step 3: Cross multiply
    3,868.86x = 5,338.92 × 2,275.53
  4. Step 4: Simplify right side
    3,868.86x = 12,148,872.63
  5. Step 5: Solve for x
    x = 12,148,872.63/3,868.86
  6. Step 6: Final answer
    x = 3,140.17

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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.