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Finding the Fourth Proportional to 3,728.07, 5,135.54 and 3,195.24

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Solution

The fourth proportional to 3,728.07, 5,135.54 and 3,195.24 is: 4,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.07 : 5,135.54 = 3,195.24 : x
  2. Step 2: Convert to fraction form
    3,728.07/5,135.54 = 3,195.24/x
  3. Step 3: Cross multiply
    3,728.07x = 5,135.54 × 3,195.24
  4. Step 4: Simplify right side
    3,728.07x = 16,409,294.81
  5. Step 5: Solve for x
    x = 16,409,294.81/3,728.07
  6. Step 6: Final answer
    x = 4,401.56

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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.