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Finding the Fourth Proportional to 3,868.75, 5,340.09 and 2,471.50

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Solution

The fourth proportional to 3,868.75, 5,340.09 and 2,471.50 is: 3,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.75 : 5,340.09 = 2,471.50 : x
  2. Step 2: Convert to fraction form
    3,868.75/5,340.09 = 2,471.50/x
  3. Step 3: Cross multiply
    3,868.75x = 5,340.09 × 2,471.50
  4. Step 4: Simplify right side
    3,868.75x = 13,198,032.44
  5. Step 5: Solve for x
    x = 13,198,032.44/3,868.75
  6. Step 6: Final answer
    x = 3,411.45

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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.