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Finding the Fourth Proportional to 4,844.92, 6,684.04 and 3,165.80

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Solution

The fourth proportional to 4,844.92, 6,684.04 and 3,165.80 is: 4,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.92 : 6,684.04 = 3,165.80 : x
  2. Step 2: Convert to fraction form
    4,844.92/6,684.04 = 3,165.80/x
  3. Step 3: Cross multiply
    4,844.92x = 6,684.04 × 3,165.80
  4. Step 4: Simplify right side
    4,844.92x = 21,160,333.83
  5. Step 5: Solve for x
    x = 21,160,333.83/4,844.92
  6. Step 6: Final answer
    x = 4,367.53

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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.