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Finding the Fourth Proportional to 5,699.59, 7,865.55 and 3,147.34

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Solution

The fourth proportional to 5,699.59, 7,865.55 and 3,147.34 is: 4,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.59 : 7,865.55 = 3,147.34 : x
  2. Step 2: Convert to fraction form
    5,699.59/7,865.55 = 3,147.34/x
  3. Step 3: Cross multiply
    5,699.59x = 7,865.55 × 3,147.34
  4. Step 4: Simplify right side
    5,699.59x = 24,755,557.44
  5. Step 5: Solve for x
    x = 24,755,557.44/5,699.59
  6. Step 6: Final answer
    x = 4,343.39

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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.