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Finding the Fourth Proportional to 3,487.41, 5,229.45 and 2,026.98

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Solution

The fourth proportional to 3,487.41, 5,229.45 and 2,026.98 is: 3,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.41 : 5,229.45 = 2,026.98 : x
  2. Step 2: Convert to fraction form
    3,487.41/5,229.45 = 2,026.98/x
  3. Step 3: Cross multiply
    3,487.41x = 5,229.45 × 2,026.98
  4. Step 4: Simplify right side
    3,487.41x = 10,599,990.56
  5. Step 5: Solve for x
    x = 10,599,990.56/3,487.41
  6. Step 6: Final answer
    x = 3,039.50

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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.