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Finding the Fourth Proportional to 5,699.62, 7,865.33 and 3,706.42

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Solution

The fourth proportional to 5,699.62, 7,865.33 and 3,706.42 is: 5,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.62 : 7,865.33 = 3,706.42 : x
  2. Step 2: Convert to fraction form
    5,699.62/7,865.33 = 3,706.42/x
  3. Step 3: Cross multiply
    5,699.62x = 7,865.33 × 3,706.42
  4. Step 4: Simplify right side
    5,699.62x = 29,152,177.09
  5. Step 5: Solve for x
    x = 29,152,177.09/5,699.62
  6. Step 6: Final answer
    x = 5,114.76

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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.