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Finding the Fourth Proportional to 3,529.98, 5,294.37 and 933.18

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Solution

The fourth proportional to 3,529.98, 5,294.37 and 933.18 is: 1,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.98 : 5,294.37 = 933.18 : x
  2. Step 2: Convert to fraction form
    3,529.98/5,294.37 = 933.18/x
  3. Step 3: Cross multiply
    3,529.98x = 5,294.37 × 933.18
  4. Step 4: Simplify right side
    3,529.98x = 4,940,600.20
  5. Step 5: Solve for x
    x = 4,940,600.20/3,529.98
  6. Step 6: Final answer
    x = 1,399.61

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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.