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Finding the Fourth Proportional to 3,529.92, 5,294.43 and 933.06

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Solution

The fourth proportional to 3,529.92, 5,294.43 and 933.06 is: 1,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.92 : 5,294.43 = 933.06 : x
  2. Step 2: Convert to fraction form
    3,529.92/5,294.43 = 933.06/x
  3. Step 3: Cross multiply
    3,529.92x = 5,294.43 × 933.06
  4. Step 4: Simplify right side
    3,529.92x = 4,940,020.86
  5. Step 5: Solve for x
    x = 4,940,020.86/3,529.92
  6. Step 6: Final answer
    x = 1,399.47

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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.