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Finding the Fourth Proportional to 3,825.46, 5,278.65 and 2,253.25

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Solution

The fourth proportional to 3,825.46, 5,278.65 and 2,253.25 is: 3,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.46 : 5,278.65 = 2,253.25 : x
  2. Step 2: Convert to fraction form
    3,825.46/5,278.65 = 2,253.25/x
  3. Step 3: Cross multiply
    3,825.46x = 5,278.65 × 2,253.25
  4. Step 4: Simplify right side
    3,825.46x = 11,894,118.11
  5. Step 5: Solve for x
    x = 11,894,118.11/3,825.46
  6. Step 6: Final answer
    x = 3,109.20

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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.