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Finding the Fourth Proportional to 5,252, 7,247.68 and 2,894.08

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Solution

The fourth proportional to 5,252, 7,247.68 and 2,894.08 is: 3,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252 : 7,247.68 = 2,894.08 : x
  2. Step 2: Convert to fraction form
    5,252/7,247.68 = 2,894.08/x
  3. Step 3: Cross multiply
    5,252x = 7,247.68 × 2,894.08
  4. Step 4: Simplify right side
    5,252x = 20,975,365.73
  5. Step 5: Solve for x
    x = 20,975,365.73/5,252
  6. Step 6: Final answer
    x = 3,993.79

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Why These Related Problems?

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