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Finding the Fourth Proportional to 4,046.32, 6,069.36 and 3,805.84

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Solution

The fourth proportional to 4,046.32, 6,069.36 and 3,805.84 is: 5,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.32 : 6,069.36 = 3,805.84 : x
  2. Step 2: Convert to fraction form
    4,046.32/6,069.36 = 3,805.84/x
  3. Step 3: Cross multiply
    4,046.32x = 6,069.36 × 3,805.84
  4. Step 4: Simplify right side
    4,046.32x = 23,099,013.06
  5. Step 5: Solve for x
    x = 23,099,013.06/4,046.32
  6. Step 6: Final answer
    x = 5,708.65

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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.