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Finding the Fourth Proportional to 3,944.90, 5,925.42 and 3,813.68

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Solution

The fourth proportional to 3,944.90, 5,925.42 and 3,813.68 is: 5,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.90 : 5,925.42 = 3,813.68 : x
  2. Step 2: Convert to fraction form
    3,944.90/5,925.42 = 3,813.68/x
  3. Step 3: Cross multiply
    3,944.90x = 5,925.42 × 3,813.68
  4. Step 4: Simplify right side
    3,944.90x = 22,597,655.75
  5. Step 5: Solve for x
    x = 22,597,655.75/3,944.90
  6. Step 6: Final answer
    x = 5,728.32

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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.