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Finding the Fourth Proportional to 4,131.47, 5,699.33 and 2,616.47

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Solution

The fourth proportional to 4,131.47, 5,699.33 and 2,616.47 is: 3,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.47 : 5,699.33 = 2,616.47 : x
  2. Step 2: Convert to fraction form
    4,131.47/5,699.33 = 2,616.47/x
  3. Step 3: Cross multiply
    4,131.47x = 5,699.33 × 2,616.47
  4. Step 4: Simplify right side
    4,131.47x = 14,912,115.57
  5. Step 5: Solve for x
    x = 14,912,115.57/4,131.47
  6. Step 6: Final answer
    x = 3,609.39

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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.