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Finding the Fourth Proportional to 4,140.59, 5,713.93 and 2,252.13

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Solution

The fourth proportional to 4,140.59, 5,713.93 and 2,252.13 is: 3,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.59 : 5,713.93 = 2,252.13 : x
  2. Step 2: Convert to fraction form
    4,140.59/5,713.93 = 2,252.13/x
  3. Step 3: Cross multiply
    4,140.59x = 5,713.93 × 2,252.13
  4. Step 4: Simplify right side
    4,140.59x = 12,868,528.97
  5. Step 5: Solve for x
    x = 12,868,528.97/4,140.59
  6. Step 6: Final answer
    x = 3,107.90

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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.