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Finding the Fourth Proportional to 5,251.76, 7,247.42 and 2,894.06

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Solution

The fourth proportional to 5,251.76, 7,247.42 and 2,894.06 is: 3,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.76 : 7,247.42 = 2,894.06 : x
  2. Step 2: Convert to fraction form
    5,251.76/7,247.42 = 2,894.06/x
  3. Step 3: Cross multiply
    5,251.76x = 7,247.42 × 2,894.06
  4. Step 4: Simplify right side
    5,251.76x = 20,974,468.33
  5. Step 5: Solve for x
    x = 20,974,468.33/5,251.76
  6. Step 6: Final answer
    x = 3,993.80

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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.