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Finding the Fourth Proportional to 3,336.78, 5,005.32 and 871.85

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Solution

The fourth proportional to 3,336.78, 5,005.32 and 871.85 is: 1,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,336.78 : 5,005.32 = 871.85 : x
  2. Step 2: Convert to fraction form
    3,336.78/5,005.32 = 871.85/x
  3. Step 3: Cross multiply
    3,336.78x = 5,005.32 × 871.85
  4. Step 4: Simplify right side
    3,336.78x = 4,363,863.22
  5. Step 5: Solve for x
    x = 4,363,863.22/3,336.78
  6. Step 6: Final answer
    x = 1,307.81

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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.