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Finding the Fourth Proportional to 3,992.76, 5,981.64 and 2,344.38

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Solution

The fourth proportional to 3,992.76, 5,981.64 and 2,344.38 is: 3,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.76 : 5,981.64 = 2,344.38 : x
  2. Step 2: Convert to fraction form
    3,992.76/5,981.64 = 2,344.38/x
  3. Step 3: Cross multiply
    3,992.76x = 5,981.64 × 2,344.38
  4. Step 4: Simplify right side
    3,992.76x = 14,023,237.18
  5. Step 5: Solve for x
    x = 14,023,237.18/3,992.76
  6. Step 6: Final answer
    x = 3,512.17

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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.