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Finding the Fourth Proportional to 4,259.64, 6,352.08 and 3,942.12

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Solution

The fourth proportional to 4,259.64, 6,352.08 and 3,942.12 is: 5,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.64 : 6,352.08 = 3,942.12 : x
  2. Step 2: Convert to fraction form
    4,259.64/6,352.08 = 3,942.12/x
  3. Step 3: Cross multiply
    4,259.64x = 6,352.08 × 3,942.12
  4. Step 4: Simplify right side
    4,259.64x = 25,040,661.61
  5. Step 5: Solve for x
    x = 25,040,661.61/4,259.64
  6. Step 6: Final answer
    x = 5,878.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.