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Finding the Fourth Proportional to 3,490.63, 5,229.09 and 2,026.69

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Solution

The fourth proportional to 3,490.63, 5,229.09 and 2,026.69 is: 3,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.63 : 5,229.09 = 2,026.69 : x
  2. Step 2: Convert to fraction form
    3,490.63/5,229.09 = 2,026.69/x
  3. Step 3: Cross multiply
    3,490.63x = 5,229.09 × 2,026.69
  4. Step 4: Simplify right side
    3,490.63x = 10,597,731.34
  5. Step 5: Solve for x
    x = 10,597,731.34/3,490.63
  6. Step 6: Final answer
    x = 3,036.05

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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.