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Finding the Fourth Proportional to 3,672.97, 5,508.64 and 1,076.11

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Solution

The fourth proportional to 3,672.97, 5,508.64 and 1,076.11 is: 1,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.97 : 5,508.64 = 1,076.11 : x
  2. Step 2: Convert to fraction form
    3,672.97/5,508.64 = 1,076.11/x
  3. Step 3: Cross multiply
    3,672.97x = 5,508.64 × 1,076.11
  4. Step 4: Simplify right side
    3,672.97x = 5,927,902.59
  5. Step 5: Solve for x
    x = 5,927,902.59/3,672.97
  6. Step 6: Final answer
    x = 1,613.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.