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Finding the Fourth Proportional to 5,798.31, 8,693 and 2,874.34

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Solution

The fourth proportional to 5,798.31, 8,693 and 2,874.34 is: 4,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.31 : 8,693 = 2,874.34 : x
  2. Step 2: Convert to fraction form
    5,798.31/8,693 = 2,874.34/x
  3. Step 3: Cross multiply
    5,798.31x = 8,693 × 2,874.34
  4. Step 4: Simplify right side
    5,798.31x = 24,986,637.62
  5. Step 5: Solve for x
    x = 24,986,637.62/5,798.31
  6. Step 6: Final answer
    x = 4,309.30

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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.