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Finding the Fourth Proportional to 5,286.47, 7,295.01 and 3,049.80

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Solution

The fourth proportional to 5,286.47, 7,295.01 and 3,049.80 is: 4,208.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.47 : 7,295.01 = 3,049.80 : x
  2. Step 2: Convert to fraction form
    5,286.47/7,295.01 = 3,049.80/x
  3. Step 3: Cross multiply
    5,286.47x = 7,295.01 × 3,049.80
  4. Step 4: Simplify right side
    5,286.47x = 22,248,340.89
  5. Step 5: Solve for x
    x = 22,248,340.89/5,286.47
  6. Step 6: Final answer
    x = 4,208.55

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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.