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Finding the Fourth Proportional to 4,140.68, 5,713.84 and 2,252.23

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Solution

The fourth proportional to 4,140.68, 5,713.84 and 2,252.23 is: 3,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.68 : 5,713.84 = 2,252.23 : x
  2. Step 2: Convert to fraction form
    4,140.68/5,713.84 = 2,252.23/x
  3. Step 3: Cross multiply
    4,140.68x = 5,713.84 × 2,252.23
  4. Step 4: Simplify right side
    4,140.68x = 12,868,886.46
  5. Step 5: Solve for x
    x = 12,868,886.46/4,140.68
  6. Step 6: Final answer
    x = 3,107.91

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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.