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Finding the Fourth Proportional to 5,140.56, 7,714.80 and 2,676

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Solution

The fourth proportional to 5,140.56, 7,714.80 and 2,676 is: 4,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.56 : 7,714.80 = 2,676 : x
  2. Step 2: Convert to fraction form
    5,140.56/7,714.80 = 2,676/x
  3. Step 3: Cross multiply
    5,140.56x = 7,714.80 × 2,676
  4. Step 4: Simplify right side
    5,140.56x = 20,644,804.80
  5. Step 5: Solve for x
    x = 20,644,804.80/5,140.56
  6. Step 6: Final answer
    x = 4,016.06

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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.