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Finding the Fourth Proportional to 3,888.72, 5,828.22 and 1,941.48

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Solution

The fourth proportional to 3,888.72, 5,828.22 and 1,941.48 is: 2,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.72 : 5,828.22 = 1,941.48 : x
  2. Step 2: Convert to fraction form
    3,888.72/5,828.22 = 1,941.48/x
  3. Step 3: Cross multiply
    3,888.72x = 5,828.22 × 1,941.48
  4. Step 4: Simplify right side
    3,888.72x = 11,315,372.57
  5. Step 5: Solve for x
    x = 11,315,372.57/3,888.72
  6. Step 6: Final answer
    x = 2,909.79

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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.