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Finding the Fourth Proportional to 3,250.21, 4,874.80 and 909.97

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Solution

The fourth proportional to 3,250.21, 4,874.80 and 909.97 is: 1,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.21 : 4,874.80 = 909.97 : x
  2. Step 2: Convert to fraction form
    3,250.21/4,874.80 = 909.97/x
  3. Step 3: Cross multiply
    3,250.21x = 4,874.80 × 909.97
  4. Step 4: Simplify right side
    3,250.21x = 4,435,921.76
  5. Step 5: Solve for x
    x = 4,435,921.76/3,250.21
  6. Step 6: Final answer
    x = 1,364.81

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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.