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Finding the Fourth Proportional to 3,982.61, 5,973.93 and 1,060.92

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Solution

The fourth proportional to 3,982.61, 5,973.93 and 1,060.92 is: 1,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.61 : 5,973.93 = 1,060.92 : x
  2. Step 2: Convert to fraction form
    3,982.61/5,973.93 = 1,060.92/x
  3. Step 3: Cross multiply
    3,982.61x = 5,973.93 × 1,060.92
  4. Step 4: Simplify right side
    3,982.61x = 6,337,861.82
  5. Step 5: Solve for x
    x = 6,337,861.82/3,982.61
  6. Step 6: Final answer
    x = 1,591.38

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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.