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Finding the Fourth Proportional to 5,659.32, 7,805.70 and 3,301.32

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Solution

The fourth proportional to 5,659.32, 7,805.70 and 3,301.32 is: 4,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.32 : 7,805.70 = 3,301.32 : x
  2. Step 2: Convert to fraction form
    5,659.32/7,805.70 = 3,301.32/x
  3. Step 3: Cross multiply
    5,659.32x = 7,805.70 × 3,301.32
  4. Step 4: Simplify right side
    5,659.32x = 25,769,113.52
  5. Step 5: Solve for x
    x = 25,769,113.52/5,659.32
  6. Step 6: Final answer
    x = 4,553.39

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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.