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Finding the Fourth Proportional to 4,549.14, 6,823.71 and 3,253.14

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Solution

The fourth proportional to 4,549.14, 6,823.71 and 3,253.14 is: 4,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.14 : 6,823.71 = 3,253.14 : x
  2. Step 2: Convert to fraction form
    4,549.14/6,823.71 = 3,253.14/x
  3. Step 3: Cross multiply
    4,549.14x = 6,823.71 × 3,253.14
  4. Step 4: Simplify right side
    4,549.14x = 22,198,483.95
  5. Step 5: Solve for x
    x = 22,198,483.95/4,549.14
  6. Step 6: Final answer
    x = 4,879.71

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Why These Related Problems?

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