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Finding the Fourth Proportional to 4,139.56, 5,713.49 and 2,547.57

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Solution

The fourth proportional to 4,139.56, 5,713.49 and 2,547.57 is: 3,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.56 : 5,713.49 = 2,547.57 : x
  2. Step 2: Convert to fraction form
    4,139.56/5,713.49 = 2,547.57/x
  3. Step 3: Cross multiply
    4,139.56x = 5,713.49 × 2,547.57
  4. Step 4: Simplify right side
    4,139.56x = 14,555,515.72
  5. Step 5: Solve for x
    x = 14,555,515.72/4,139.56
  6. Step 6: Final answer
    x = 3,516.20

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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.