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Finding the Fourth Proportional to 3,949.16, 5,929.88 and 3,773.86

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Solution

The fourth proportional to 3,949.16, 5,929.88 and 3,773.86 is: 5,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.16 : 5,929.88 = 3,773.86 : x
  2. Step 2: Convert to fraction form
    3,949.16/5,929.88 = 3,773.86/x
  3. Step 3: Cross multiply
    3,949.16x = 5,929.88 × 3,773.86
  4. Step 4: Simplify right side
    3,949.16x = 22,378,503.24
  5. Step 5: Solve for x
    x = 22,378,503.24/3,949.16
  6. Step 6: Final answer
    x = 5,666.66

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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.