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Finding the Fourth Proportional to 3,981.90, 5,972.82 and 1,060.44

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Solution

The fourth proportional to 3,981.90, 5,972.82 and 1,060.44 is: 1,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.90 : 5,972.82 = 1,060.44 : x
  2. Step 2: Convert to fraction form
    3,981.90/5,972.82 = 1,060.44/x
  3. Step 3: Cross multiply
    3,981.90x = 5,972.82 × 1,060.44
  4. Step 4: Simplify right side
    3,981.90x = 6,333,817.24
  5. Step 5: Solve for x
    x = 6,333,817.24/3,981.90
  6. Step 6: Final answer
    x = 1,590.65

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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.