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Finding the Fourth Proportional to 4,685.67, 6,466.20 and 2,589.78

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Solution

The fourth proportional to 4,685.67, 6,466.20 and 2,589.78 is: 3,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.67 : 6,466.20 = 2,589.78 : x
  2. Step 2: Convert to fraction form
    4,685.67/6,466.20 = 2,589.78/x
  3. Step 3: Cross multiply
    4,685.67x = 6,466.20 × 2,589.78
  4. Step 4: Simplify right side
    4,685.67x = 16,746,035.44
  5. Step 5: Solve for x
    x = 16,746,035.44/4,685.67
  6. Step 6: Final answer
    x = 3,573.88

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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.