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Finding the Fourth Proportional to 5,735.40, 8,613.66 and 3,441

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Solution

The fourth proportional to 5,735.40, 8,613.66 and 3,441 is: 5,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.40 : 8,613.66 = 3,441 : x
  2. Step 2: Convert to fraction form
    5,735.40/8,613.66 = 3,441/x
  3. Step 3: Cross multiply
    5,735.40x = 8,613.66 × 3,441
  4. Step 4: Simplify right side
    5,735.40x = 29,639,604.06
  5. Step 5: Solve for x
    x = 29,639,604.06/5,735.40
  6. Step 6: Final answer
    x = 5,167.84

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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.