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Finding the Fourth Proportional to 5,701.59, 7,868.25 and 4,025.97

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Solution

The fourth proportional to 5,701.59, 7,868.25 and 4,025.97 is: 5,555.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.59 : 7,868.25 = 4,025.97 : x
  2. Step 2: Convert to fraction form
    5,701.59/7,868.25 = 4,025.97/x
  3. Step 3: Cross multiply
    5,701.59x = 7,868.25 × 4,025.97
  4. Step 4: Simplify right side
    5,701.59x = 31,677,338.45
  5. Step 5: Solve for x
    x = 31,677,338.45/5,701.59
  6. Step 6: Final answer
    x = 5,555.88

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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.