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Finding the Fourth Proportional to 4,843.60, 6,682.45 and 3,165.97

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Solution

The fourth proportional to 4,843.60, 6,682.45 and 3,165.97 is: 4,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.60 : 6,682.45 = 3,165.97 : x
  2. Step 2: Convert to fraction form
    4,843.60/6,682.45 = 3,165.97/x
  3. Step 3: Cross multiply
    4,843.60x = 6,682.45 × 3,165.97
  4. Step 4: Simplify right side
    4,843.60x = 21,156,437.10
  5. Step 5: Solve for x
    x = 21,156,437.10/4,843.60
  6. Step 6: Final answer
    x = 4,367.92

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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.