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Finding the Fourth Proportional to 3,868.48, 5,824.06 and 3,408.94

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Solution

The fourth proportional to 3,868.48, 5,824.06 and 3,408.94 is: 5,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.48 : 5,824.06 = 3,408.94 : x
  2. Step 2: Convert to fraction form
    3,868.48/5,824.06 = 3,408.94/x
  3. Step 3: Cross multiply
    3,868.48x = 5,824.06 × 3,408.94
  4. Step 4: Simplify right side
    3,868.48x = 19,853,871.10
  5. Step 5: Solve for x
    x = 19,853,871.10/3,868.48
  6. Step 6: Final answer
    x = 5,132.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.