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Finding the Fourth Proportional to 5,656.39, 7,805.82 and 3,172.39

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Solution

The fourth proportional to 5,656.39, 7,805.82 and 3,172.39 is: 4,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.39 : 7,805.82 = 3,172.39 : x
  2. Step 2: Convert to fraction form
    5,656.39/7,805.82 = 3,172.39/x
  3. Step 3: Cross multiply
    5,656.39x = 7,805.82 × 3,172.39
  4. Step 4: Simplify right side
    5,656.39x = 24,763,105.31
  5. Step 5: Solve for x
    x = 24,763,105.31/5,656.39
  6. Step 6: Final answer
    x = 4,377.90

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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.