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Finding the Fourth Proportional to 5,293.84, 7,949.40 and 2,218

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Solution

The fourth proportional to 5,293.84, 7,949.40 and 2,218 is: 3,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.84 : 7,949.40 = 2,218 : x
  2. Step 2: Convert to fraction form
    5,293.84/7,949.40 = 2,218/x
  3. Step 3: Cross multiply
    5,293.84x = 7,949.40 × 2,218
  4. Step 4: Simplify right side
    5,293.84x = 17,631,769.20
  5. Step 5: Solve for x
    x = 17,631,769.20/5,293.84
  6. Step 6: Final answer
    x = 3,330.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.