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Finding the Fourth Proportional to 3,337.12, 5,006.76 and 2,350

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Solution

The fourth proportional to 3,337.12, 5,006.76 and 2,350 is: 3,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.12 : 5,006.76 = 2,350 : x
  2. Step 2: Convert to fraction form
    3,337.12/5,006.76 = 2,350/x
  3. Step 3: Cross multiply
    3,337.12x = 5,006.76 × 2,350
  4. Step 4: Simplify right side
    3,337.12x = 11,765,886
  5. Step 5: Solve for x
    x = 11,765,886/3,337.12
  6. Step 6: Final answer
    x = 3,525.76

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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.