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Finding the Fourth Proportional to 5,471, 8,209.32 and 3,007.76

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Solution

The fourth proportional to 5,471, 8,209.32 and 3,007.76 is: 4,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471 : 8,209.32 = 3,007.76 : x
  2. Step 2: Convert to fraction form
    5,471/8,209.32 = 3,007.76/x
  3. Step 3: Cross multiply
    5,471x = 8,209.32 × 3,007.76
  4. Step 4: Simplify right side
    5,471x = 24,691,664.32
  5. Step 5: Solve for x
    x = 24,691,664.32/5,471
  6. Step 6: Final answer
    x = 4,513.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.