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Finding the Fourth Proportional to 7,282, 10,049.18 and 3,970

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Solution

The fourth proportional to 7,282, 10,049.18 and 3,970 is: 5,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282 : 10,049.18 = 3,970 : x
  2. Step 2: Convert to fraction form
    7,282/10,049.18 = 3,970/x
  3. Step 3: Cross multiply
    7,282x = 10,049.18 × 3,970
  4. Step 4: Simplify right side
    7,282x = 39,895,244.60
  5. Step 5: Solve for x
    x = 39,895,244.60/7,282
  6. Step 6: Final answer
    x = 5,478.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.