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Finding the Fourth Proportional to 3,497.46, 4,834.20 and 3,074.64

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Solution

The fourth proportional to 3,497.46, 4,834.20 and 3,074.64 is: 4,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.46 : 4,834.20 = 3,074.64 : x
  2. Step 2: Convert to fraction form
    3,497.46/4,834.20 = 3,074.64/x
  3. Step 3: Cross multiply
    3,497.46x = 4,834.20 × 3,074.64
  4. Step 4: Simplify right side
    3,497.46x = 14,863,424.69
  5. Step 5: Solve for x
    x = 14,863,424.69/3,497.46
  6. Step 6: Final answer
    x = 4,249.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.