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Finding the Fourth Proportional to 5,338.64, 7,367.25 and 3,101.78

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Solution

The fourth proportional to 5,338.64, 7,367.25 and 3,101.78 is: 4,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.64 : 7,367.25 = 3,101.78 : x
  2. Step 2: Convert to fraction form
    5,338.64/7,367.25 = 3,101.78/x
  3. Step 3: Cross multiply
    5,338.64x = 7,367.25 × 3,101.78
  4. Step 4: Simplify right side
    5,338.64x = 22,851,551.87
  5. Step 5: Solve for x
    x = 22,851,551.87/5,338.64
  6. Step 6: Final answer
    x = 4,280.41

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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.