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Finding the Fourth Proportional to 4,673.92, 6,449.98 and 2,578.05

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Solution

The fourth proportional to 4,673.92, 6,449.98 and 2,578.05 is: 3,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.92 : 6,449.98 = 2,578.05 : x
  2. Step 2: Convert to fraction form
    4,673.92/6,449.98 = 2,578.05/x
  3. Step 3: Cross multiply
    4,673.92x = 6,449.98 × 2,578.05
  4. Step 4: Simplify right side
    4,673.92x = 16,628,370.94
  5. Step 5: Solve for x
    x = 16,628,370.94/4,673.92
  6. Step 6: Final answer
    x = 3,557.69

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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.