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Finding the Fourth Proportional to 5,473, 8,212.32 and 3,009.76

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Solution

The fourth proportional to 5,473, 8,212.32 and 3,009.76 is: 4,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473 : 8,212.32 = 3,009.76 : x
  2. Step 2: Convert to fraction form
    5,473/8,212.32 = 3,009.76/x
  3. Step 3: Cross multiply
    5,473x = 8,212.32 × 3,009.76
  4. Step 4: Simplify right side
    5,473x = 24,717,112.24
  5. Step 5: Solve for x
    x = 24,717,112.24/5,473
  6. Step 6: Final answer
    x = 4,516.19

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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.