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Finding the Fourth Proportional to 5,562.64, 8,340.72 and 2,098

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Solution

The fourth proportional to 5,562.64, 8,340.72 and 2,098 is: 3,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.64 : 8,340.72 = 2,098 : x
  2. Step 2: Convert to fraction form
    5,562.64/8,340.72 = 2,098/x
  3. Step 3: Cross multiply
    5,562.64x = 8,340.72 × 2,098
  4. Step 4: Simplify right side
    5,562.64x = 17,498,830.56
  5. Step 5: Solve for x
    x = 17,498,830.56/5,562.64
  6. Step 6: Final answer
    x = 3,145.78

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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.