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Finding the Fourth Proportional to 4,843.43, 6,684.08 and 3,429.65

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Solution

The fourth proportional to 4,843.43, 6,684.08 and 3,429.65 is: 4,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.43 : 6,684.08 = 3,429.65 : x
  2. Step 2: Convert to fraction form
    4,843.43/6,684.08 = 3,429.65/x
  3. Step 3: Cross multiply
    4,843.43x = 6,684.08 × 3,429.65
  4. Step 4: Simplify right side
    4,843.43x = 22,924,004.40
  5. Step 5: Solve for x
    x = 22,924,004.40/4,843.43
  6. Step 6: Final answer
    x = 4,733.02

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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.