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Finding the Fourth Proportional to 4,145.76, 5,714.46 and 3,247.97

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Solution

The fourth proportional to 4,145.76, 5,714.46 and 3,247.97 is: 4,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.76 : 5,714.46 = 3,247.97 : x
  2. Step 2: Convert to fraction form
    4,145.76/5,714.46 = 3,247.97/x
  3. Step 3: Cross multiply
    4,145.76x = 5,714.46 × 3,247.97
  4. Step 4: Simplify right side
    4,145.76x = 18,560,366.07
  5. Step 5: Solve for x
    x = 18,560,366.07/4,145.76
  6. Step 6: Final answer
    x = 4,476.95

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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.