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Finding the Fourth Proportional to 3,964.86, 5,466.52 and 2,546.04

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Solution

The fourth proportional to 3,964.86, 5,466.52 and 2,546.04 is: 3,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.86 : 5,466.52 = 2,546.04 : x
  2. Step 2: Convert to fraction form
    3,964.86/5,466.52 = 2,546.04/x
  3. Step 3: Cross multiply
    3,964.86x = 5,466.52 × 2,546.04
  4. Step 4: Simplify right side
    3,964.86x = 13,917,978.58
  5. Step 5: Solve for x
    x = 13,917,978.58/3,964.86
  6. Step 6: Final answer
    x = 3,510.33

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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.