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Finding the Fourth Proportional to 3,535.73, 5,302.34 and 1,036.22

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Solution

The fourth proportional to 3,535.73, 5,302.34 and 1,036.22 is: 1,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.73 : 5,302.34 = 1,036.22 : x
  2. Step 2: Convert to fraction form
    3,535.73/5,302.34 = 1,036.22/x
  3. Step 3: Cross multiply
    3,535.73x = 5,302.34 × 1,036.22
  4. Step 4: Simplify right side
    3,535.73x = 5,494,398.83
  5. Step 5: Solve for x
    x = 5,494,398.83/3,535.73
  6. Step 6: Final answer
    x = 1,553.97

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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.