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Finding the Fourth Proportional to 4,139.96, 5,713.06 and 2,251.58

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Solution

The fourth proportional to 4,139.96, 5,713.06 and 2,251.58 is: 3,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.96 : 5,713.06 = 2,251.58 : x
  2. Step 2: Convert to fraction form
    4,139.96/5,713.06 = 2,251.58/x
  3. Step 3: Cross multiply
    4,139.96x = 5,713.06 × 2,251.58
  4. Step 4: Simplify right side
    4,139.96x = 12,863,411.63
  5. Step 5: Solve for x
    x = 12,863,411.63/4,139.96
  6. Step 6: Final answer
    x = 3,107.13

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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.