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Finding the Fourth Proportional to 3,496.46, 5,249.84 and 2,333.70

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Solution

The fourth proportional to 3,496.46, 5,249.84 and 2,333.70 is: 3,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.46 : 5,249.84 = 2,333.70 : x
  2. Step 2: Convert to fraction form
    3,496.46/5,249.84 = 2,333.70/x
  3. Step 3: Cross multiply
    3,496.46x = 5,249.84 × 2,333.70
  4. Step 4: Simplify right side
    3,496.46x = 12,251,539.94
  5. Step 5: Solve for x
    x = 12,251,539.94/3,496.46
  6. Step 6: Final answer
    x = 3,503.99

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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.