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Finding the Fourth Proportional to 3,250.05, 4,874.78 and 909.85

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Solution

The fourth proportional to 3,250.05, 4,874.78 and 909.85 is: 1,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.05 : 4,874.78 = 909.85 : x
  2. Step 2: Convert to fraction form
    3,250.05/4,874.78 = 909.85/x
  3. Step 3: Cross multiply
    3,250.05x = 4,874.78 × 909.85
  4. Step 4: Simplify right side
    3,250.05x = 4,435,318.58
  5. Step 5: Solve for x
    x = 4,435,318.58/3,250.05
  6. Step 6: Final answer
    x = 1,364.69

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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.