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Finding the Fourth Proportional to 3,540.86, 4,886.42 and 1,968.96

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Solution

The fourth proportional to 3,540.86, 4,886.42 and 1,968.96 is: 2,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.86 : 4,886.42 = 1,968.96 : x
  2. Step 2: Convert to fraction form
    3,540.86/4,886.42 = 1,968.96/x
  3. Step 3: Cross multiply
    3,540.86x = 4,886.42 × 1,968.96
  4. Step 4: Simplify right side
    3,540.86x = 9,621,165.52
  5. Step 5: Solve for x
    x = 9,621,165.52/3,540.86
  6. Step 6: Final answer
    x = 2,717.18

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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.