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Finding the Fourth Proportional to 5,398.70, 8,098.04 and 1,701.24

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Solution

The fourth proportional to 5,398.70, 8,098.04 and 1,701.24 is: 2,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.70 : 8,098.04 = 1,701.24 : x
  2. Step 2: Convert to fraction form
    5,398.70/8,098.04 = 1,701.24/x
  3. Step 3: Cross multiply
    5,398.70x = 8,098.04 × 1,701.24
  4. Step 4: Simplify right side
    5,398.70x = 13,776,709.57
  5. Step 5: Solve for x
    x = 13,776,709.57/5,398.70
  6. Step 6: Final answer
    x = 2,551.86

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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.