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Finding the Fourth Proportional to 5,398.30, 8,098.22 and 1,700.82

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Solution

The fourth proportional to 5,398.30, 8,098.22 and 1,700.82 is: 2,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.30 : 8,098.22 = 1,700.82 : x
  2. Step 2: Convert to fraction form
    5,398.30/8,098.22 = 1,700.82/x
  3. Step 3: Cross multiply
    5,398.30x = 8,098.22 × 1,700.82
  4. Step 4: Simplify right side
    5,398.30x = 13,773,639.04
  5. Step 5: Solve for x
    x = 13,773,639.04/5,398.30
  6. Step 6: Final answer
    x = 2,551.48

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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.