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Finding the Fourth Proportional to 3,278.32, 4,906.14 and 3,142.24

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Solution

The fourth proportional to 3,278.32, 4,906.14 and 3,142.24 is: 4,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.32 : 4,906.14 = 3,142.24 : x
  2. Step 2: Convert to fraction form
    3,278.32/4,906.14 = 3,142.24/x
  3. Step 3: Cross multiply
    3,278.32x = 4,906.14 × 3,142.24
  4. Step 4: Simplify right side
    3,278.32x = 15,416,269.35
  5. Step 5: Solve for x
    x = 15,416,269.35/3,278.32
  6. Step 6: Final answer
    x = 4,702.49

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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.