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Finding the Fourth Proportional to 5,759, 7,948.38 and 4,359.32

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Solution

The fourth proportional to 5,759, 7,948.38 and 4,359.32 is: 6,016.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759 : 7,948.38 = 4,359.32 : x
  2. Step 2: Convert to fraction form
    5,759/7,948.38 = 4,359.32/x
  3. Step 3: Cross multiply
    5,759x = 7,948.38 × 4,359.32
  4. Step 4: Simplify right side
    5,759x = 34,649,531.90
  5. Step 5: Solve for x
    x = 34,649,531.90/5,759
  6. Step 6: Final answer
    x = 6,016.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.