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Finding the Fourth Proportional to 3,699.52, 5,105.46 and 2,127.76

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Solution

The fourth proportional to 3,699.52, 5,105.46 and 2,127.76 is: 2,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.52 : 5,105.46 = 2,127.76 : x
  2. Step 2: Convert to fraction form
    3,699.52/5,105.46 = 2,127.76/x
  3. Step 3: Cross multiply
    3,699.52x = 5,105.46 × 2,127.76
  4. Step 4: Simplify right side
    3,699.52x = 10,863,193.57
  5. Step 5: Solve for x
    x = 10,863,193.57/3,699.52
  6. Step 6: Final answer
    x = 2,936.38

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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.