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Finding the Fourth Proportional to 3,847.43, 5,771.92 and 1,215.35

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Solution

The fourth proportional to 3,847.43, 5,771.92 and 1,215.35 is: 1,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.43 : 5,771.92 = 1,215.35 : x
  2. Step 2: Convert to fraction form
    3,847.43/5,771.92 = 1,215.35/x
  3. Step 3: Cross multiply
    3,847.43x = 5,771.92 × 1,215.35
  4. Step 4: Simplify right side
    3,847.43x = 7,014,871.07
  5. Step 5: Solve for x
    x = 7,014,871.07/3,847.43
  6. Step 6: Final answer
    x = 1,823.26

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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.