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Finding the Fourth Proportional to 5,278.68, 7,929.54 and 3,228.12

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Solution

The fourth proportional to 5,278.68, 7,929.54 and 3,228.12 is: 4,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.68 : 7,929.54 = 3,228.12 : x
  2. Step 2: Convert to fraction form
    5,278.68/7,929.54 = 3,228.12/x
  3. Step 3: Cross multiply
    5,278.68x = 7,929.54 × 3,228.12
  4. Step 4: Simplify right side
    5,278.68x = 25,597,506.66
  5. Step 5: Solve for x
    x = 25,597,506.66/5,278.68
  6. Step 6: Final answer
    x = 4,849.22

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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.