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Finding the Fourth Proportional to 3,729.92, 5,595.04 and 1,878.82

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Solution

The fourth proportional to 3,729.92, 5,595.04 and 1,878.82 is: 2,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.92 : 5,595.04 = 1,878.82 : x
  2. Step 2: Convert to fraction form
    3,729.92/5,595.04 = 1,878.82/x
  3. Step 3: Cross multiply
    3,729.92x = 5,595.04 × 1,878.82
  4. Step 4: Simplify right side
    3,729.92x = 10,512,073.05
  5. Step 5: Solve for x
    x = 10,512,073.05/3,729.92
  6. Step 6: Final answer
    x = 2,818.31

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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.