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Finding the Fourth Proportional to 3,474.46, 5,207.19 and 3,034.63

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Solution

The fourth proportional to 3,474.46, 5,207.19 and 3,034.63 is: 4,548.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.46 : 5,207.19 = 3,034.63 : x
  2. Step 2: Convert to fraction form
    3,474.46/5,207.19 = 3,034.63/x
  3. Step 3: Cross multiply
    3,474.46x = 5,207.19 × 3,034.63
  4. Step 4: Simplify right side
    3,474.46x = 15,801,894.99
  5. Step 5: Solve for x
    x = 15,801,894.99/3,474.46
  6. Step 6: Final answer
    x = 4,548.01

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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.