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Finding the Fourth Proportional to 3,881.46, 5,819.31 and 3,490.50

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Solution

The fourth proportional to 3,881.46, 5,819.31 and 3,490.50 is: 5,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.46 : 5,819.31 = 3,490.50 : x
  2. Step 2: Convert to fraction form
    3,881.46/5,819.31 = 3,490.50/x
  3. Step 3: Cross multiply
    3,881.46x = 5,819.31 × 3,490.50
  4. Step 4: Simplify right side
    3,881.46x = 20,312,301.56
  5. Step 5: Solve for x
    x = 20,312,301.56/3,881.46
  6. Step 6: Final answer
    x = 5,233.16

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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.