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Finding the Fourth Proportional to 4,853.42, 7,286.28 and 4,041.62

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Solution

The fourth proportional to 4,853.42, 7,286.28 and 4,041.62 is: 6,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.42 : 7,286.28 = 4,041.62 : x
  2. Step 2: Convert to fraction form
    4,853.42/7,286.28 = 4,041.62/x
  3. Step 3: Cross multiply
    4,853.42x = 7,286.28 × 4,041.62
  4. Step 4: Simplify right side
    4,853.42x = 29,448,374.97
  5. Step 5: Solve for x
    x = 29,448,374.97/4,853.42
  6. Step 6: Final answer
    x = 6,067.55

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