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Finding the Fourth Proportional to 3,235.62, 4,853.37 and 895.82

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Solution

The fourth proportional to 3,235.62, 4,853.37 and 895.82 is: 1,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.62 : 4,853.37 = 895.82 : x
  2. Step 2: Convert to fraction form
    3,235.62/4,853.37 = 895.82/x
  3. Step 3: Cross multiply
    3,235.62x = 4,853.37 × 895.82
  4. Step 4: Simplify right side
    3,235.62x = 4,347,729.05
  5. Step 5: Solve for x
    x = 4,347,729.05/3,235.62
  6. Step 6: Final answer
    x = 1,343.71

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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.