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Finding the Fourth Proportional to 4,766.18, 6,577.15 and 2,641.80

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Solution

The fourth proportional to 4,766.18, 6,577.15 and 2,641.80 is: 3,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.18 : 6,577.15 = 2,641.80 : x
  2. Step 2: Convert to fraction form
    4,766.18/6,577.15 = 2,641.80/x
  3. Step 3: Cross multiply
    4,766.18x = 6,577.15 × 2,641.80
  4. Step 4: Simplify right side
    4,766.18x = 17,375,500.89
  5. Step 5: Solve for x
    x = 17,375,500.89/4,766.18
  6. Step 6: Final answer
    x = 3,645.59

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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.