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Finding the Fourth Proportional to 3,423.34, 5,126.24 and 2,731

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Solution

The fourth proportional to 3,423.34, 5,126.24 and 2,731 is: 4,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.34 : 5,126.24 = 2,731 : x
  2. Step 2: Convert to fraction form
    3,423.34/5,126.24 = 2,731/x
  3. Step 3: Cross multiply
    3,423.34x = 5,126.24 × 2,731
  4. Step 4: Simplify right side
    3,423.34x = 13,999,761.44
  5. Step 5: Solve for x
    x = 13,999,761.44/3,423.34
  6. Step 6: Final answer
    x = 4,089.50

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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.