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Finding the Fourth Proportional to 6,120.93, 8,446.71 and 3,469.20

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Solution

The fourth proportional to 6,120.93, 8,446.71 and 3,469.20 is: 4,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.93 : 8,446.71 = 3,469.20 : x
  2. Step 2: Convert to fraction form
    6,120.93/8,446.71 = 3,469.20/x
  3. Step 3: Cross multiply
    6,120.93x = 8,446.71 × 3,469.20
  4. Step 4: Simplify right side
    6,120.93x = 29,303,275.43
  5. Step 5: Solve for x
    x = 29,303,275.43/6,120.93
  6. Step 6: Final answer
    x = 4,787.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.