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Finding the Fourth Proportional to 3,139.88, 4,338.66 and 2,254.14

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Solution

The fourth proportional to 3,139.88, 4,338.66 and 2,254.14 is: 3,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.88 : 4,338.66 = 2,254.14 : x
  2. Step 2: Convert to fraction form
    3,139.88/4,338.66 = 2,254.14/x
  3. Step 3: Cross multiply
    3,139.88x = 4,338.66 × 2,254.14
  4. Step 4: Simplify right side
    3,139.88x = 9,779,947.05
  5. Step 5: Solve for x
    x = 9,779,947.05/3,139.88
  6. Step 6: Final answer
    x = 3,114.75

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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.