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Finding the Fourth Proportional to 4,466.86, 6,166.68 and 2,789.78

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Solution

The fourth proportional to 4,466.86, 6,166.68 and 2,789.78 is: 3,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.86 : 6,166.68 = 2,789.78 : x
  2. Step 2: Convert to fraction form
    4,466.86/6,166.68 = 2,789.78/x
  3. Step 3: Cross multiply
    4,466.86x = 6,166.68 × 2,789.78
  4. Step 4: Simplify right side
    4,466.86x = 17,203,680.53
  5. Step 5: Solve for x
    x = 17,203,680.53/4,466.86
  6. Step 6: Final answer
    x = 3,851.40

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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.