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Finding the Fourth Proportional to 3,213.70, 4,821.12 and 1,134.91

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Solution

The fourth proportional to 3,213.70, 4,821.12 and 1,134.91 is: 1,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.70 : 4,821.12 = 1,134.91 : x
  2. Step 2: Convert to fraction form
    3,213.70/4,821.12 = 1,134.91/x
  3. Step 3: Cross multiply
    3,213.70x = 4,821.12 × 1,134.91
  4. Step 4: Simplify right side
    3,213.70x = 5,471,544.74
  5. Step 5: Solve for x
    x = 5,471,544.74/3,213.70
  6. Step 6: Final answer
    x = 1,702.57

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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.