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Finding the Fourth Proportional to 5,061, 7,591.62 and 1,983

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Solution

The fourth proportional to 5,061, 7,591.62 and 1,983 is: 2,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061 : 7,591.62 = 1,983 : x
  2. Step 2: Convert to fraction form
    5,061/7,591.62 = 1,983/x
  3. Step 3: Cross multiply
    5,061x = 7,591.62 × 1,983
  4. Step 4: Simplify right side
    5,061x = 15,054,182.46
  5. Step 5: Solve for x
    x = 15,054,182.46/5,061
  6. Step 6: Final answer
    x = 2,974.55

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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.