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Finding the Fourth Proportional to 4,562.74, 6,844.20 and 2,714.56

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Solution

The fourth proportional to 4,562.74, 6,844.20 and 2,714.56 is: 4,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.74 : 6,844.20 = 2,714.56 : x
  2. Step 2: Convert to fraction form
    4,562.74/6,844.20 = 2,714.56/x
  3. Step 3: Cross multiply
    4,562.74x = 6,844.20 × 2,714.56
  4. Step 4: Simplify right side
    4,562.74x = 18,578,991.55
  5. Step 5: Solve for x
    x = 18,578,991.55/4,562.74
  6. Step 6: Final answer
    x = 4,071.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.