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Finding the Fourth Proportional to 6,473.92, 8,934.08 and 3,680

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Solution

The fourth proportional to 6,473.92, 8,934.08 and 3,680 is: 5,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.92 : 8,934.08 = 3,680 : x
  2. Step 2: Convert to fraction form
    6,473.92/8,934.08 = 3,680/x
  3. Step 3: Cross multiply
    6,473.92x = 8,934.08 × 3,680
  4. Step 4: Simplify right side
    6,473.92x = 32,877,414.40
  5. Step 5: Solve for x
    x = 32,877,414.40/6,473.92
  6. Step 6: Final answer
    x = 5,078.44

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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.