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Finding the Fourth Proportional to 5,866.57, 8,096.25 and 3,851.19

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Solution

The fourth proportional to 5,866.57, 8,096.25 and 3,851.19 is: 5,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.57 : 8,096.25 = 3,851.19 : x
  2. Step 2: Convert to fraction form
    5,866.57/8,096.25 = 3,851.19/x
  3. Step 3: Cross multiply
    5,866.57x = 8,096.25 × 3,851.19
  4. Step 4: Simplify right side
    5,866.57x = 31,180,197.04
  5. Step 5: Solve for x
    x = 31,180,197.04/5,866.57
  6. Step 6: Final answer
    x = 5,314.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.