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Finding the Fourth Proportional to 7,282.14, 10,049.34 and 3,970.14

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Solution

The fourth proportional to 7,282.14, 10,049.34 and 3,970.14 is: 5,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.14 : 10,049.34 = 3,970.14 : x
  2. Step 2: Convert to fraction form
    7,282.14/10,049.34 = 3,970.14/x
  3. Step 3: Cross multiply
    7,282.14x = 10,049.34 × 3,970.14
  4. Step 4: Simplify right side
    7,282.14x = 39,897,286.71
  5. Step 5: Solve for x
    x = 39,897,286.71/7,282.14
  6. Step 6: Final answer
    x = 5,478.79

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