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Finding the Fourth Proportional to 4,766.70, 6,578.05 and 2,642.26

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Solution

The fourth proportional to 4,766.70, 6,578.05 and 2,642.26 is: 3,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.70 : 6,578.05 = 2,642.26 : x
  2. Step 2: Convert to fraction form
    4,766.70/6,578.05 = 2,642.26/x
  3. Step 3: Cross multiply
    4,766.70x = 6,578.05 × 2,642.26
  4. Step 4: Simplify right side
    4,766.70x = 17,380,912.63
  5. Step 5: Solve for x
    x = 17,380,912.63/4,766.70
  6. Step 6: Final answer
    x = 3,646.32

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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.