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Finding the Fourth Proportional to 3,858.42, 5,324.72 and 2,365.48

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Solution

The fourth proportional to 3,858.42, 5,324.72 and 2,365.48 is: 3,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.42 : 5,324.72 = 2,365.48 : x
  2. Step 2: Convert to fraction form
    3,858.42/5,324.72 = 2,365.48/x
  3. Step 3: Cross multiply
    3,858.42x = 5,324.72 × 2,365.48
  4. Step 4: Simplify right side
    3,858.42x = 12,595,493.53
  5. Step 5: Solve for x
    x = 12,595,493.53/3,858.42
  6. Step 6: Final answer
    x = 3,264.42

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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.