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Finding the Fourth Proportional to 4,146.68, 5,718.66 and 2,747

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Solution

The fourth proportional to 4,146.68, 5,718.66 and 2,747 is: 3,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.68 : 5,718.66 = 2,747 : x
  2. Step 2: Convert to fraction form
    4,146.68/5,718.66 = 2,747/x
  3. Step 3: Cross multiply
    4,146.68x = 5,718.66 × 2,747
  4. Step 4: Simplify right side
    4,146.68x = 15,709,159.02
  5. Step 5: Solve for x
    x = 15,709,159.02/4,146.68
  6. Step 6: Final answer
    x = 3,788.37

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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.