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Finding the Fourth Proportional to 3,981.32, 5,971.68 and 1,349.06

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Solution

The fourth proportional to 3,981.32, 5,971.68 and 1,349.06 is: 2,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.32 : 5,971.68 = 1,349.06 : x
  2. Step 2: Convert to fraction form
    3,981.32/5,971.68 = 1,349.06/x
  3. Step 3: Cross multiply
    3,981.32x = 5,971.68 × 1,349.06
  4. Step 4: Simplify right side
    3,981.32x = 8,056,154.62
  5. Step 5: Solve for x
    x = 8,056,154.62/3,981.32
  6. Step 6: Final answer
    x = 2,023.49

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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.