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Finding the Fourth Proportional to 3,825.58, 5,280.05 and 2,232.42

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Solution

The fourth proportional to 3,825.58, 5,280.05 and 2,232.42 is: 3,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.58 : 5,280.05 = 2,232.42 : x
  2. Step 2: Convert to fraction form
    3,825.58/5,280.05 = 2,232.42/x
  3. Step 3: Cross multiply
    3,825.58x = 5,280.05 × 2,232.42
  4. Step 4: Simplify right side
    3,825.58x = 11,787,251.66
  5. Step 5: Solve for x
    x = 11,787,251.66/3,825.58
  6. Step 6: Final answer
    x = 3,081.17

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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.