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Finding the Fourth Proportional to 3,489.82, 4,816 and 1,917.92

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Solution

The fourth proportional to 3,489.82, 4,816 and 1,917.92 is: 2,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.82 : 4,816 = 1,917.92 : x
  2. Step 2: Convert to fraction form
    3,489.82/4,816 = 1,917.92/x
  3. Step 3: Cross multiply
    3,489.82x = 4,816 × 1,917.92
  4. Step 4: Simplify right side
    3,489.82x = 9,236,702.72
  5. Step 5: Solve for x
    x = 9,236,702.72/3,489.82
  6. Step 6: Final answer
    x = 2,646.76

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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.