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Finding the Fourth Proportional to 4,673.88, 6,449.95 and 2,578.14

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Solution

The fourth proportional to 4,673.88, 6,449.95 and 2,578.14 is: 3,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.88 : 6,449.95 = 2,578.14 : x
  2. Step 2: Convert to fraction form
    4,673.88/6,449.95 = 2,578.14/x
  3. Step 3: Cross multiply
    4,673.88x = 6,449.95 × 2,578.14
  4. Step 4: Simplify right side
    4,673.88x = 16,628,874.09
  5. Step 5: Solve for x
    x = 16,628,874.09/4,673.88
  6. Step 6: Final answer
    x = 3,557.83

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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.