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Finding the Fourth Proportional to 4,766.90, 6,578.67 and 2,878.94

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Solution

The fourth proportional to 4,766.90, 6,578.67 and 2,878.94 is: 3,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.90 : 6,578.67 = 2,878.94 : x
  2. Step 2: Convert to fraction form
    4,766.90/6,578.67 = 2,878.94/x
  3. Step 3: Cross multiply
    4,766.90x = 6,578.67 × 2,878.94
  4. Step 4: Simplify right side
    4,766.90x = 18,939,596.21
  5. Step 5: Solve for x
    x = 18,939,596.21/4,766.90
  6. Step 6: Final answer
    x = 3,973.15

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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.