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Finding the Fourth Proportional to 4,578.42, 6,867.62 and 4,344.68

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Solution

The fourth proportional to 4,578.42, 6,867.62 and 4,344.68 is: 6,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.42 : 6,867.62 = 4,344.68 : x
  2. Step 2: Convert to fraction form
    4,578.42/6,867.62 = 4,344.68/x
  3. Step 3: Cross multiply
    4,578.42x = 6,867.62 × 4,344.68
  4. Step 4: Simplify right side
    4,578.42x = 29,837,639.29
  5. Step 5: Solve for x
    x = 29,837,639.29/4,578.42
  6. Step 6: Final answer
    x = 6,517.02

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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.