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Finding the Fourth Proportional to 3,490.70, 5,229.20 and 2,026.76

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Solution

The fourth proportional to 3,490.70, 5,229.20 and 2,026.76 is: 3,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.70 : 5,229.20 = 2,026.76 : x
  2. Step 2: Convert to fraction form
    3,490.70/5,229.20 = 2,026.76/x
  3. Step 3: Cross multiply
    3,490.70x = 5,229.20 × 2,026.76
  4. Step 4: Simplify right side
    3,490.70x = 10,598,333.39
  5. Step 5: Solve for x
    x = 10,598,333.39/3,490.70
  6. Step 6: Final answer
    x = 3,036.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.