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Finding the Fourth Proportional to 3,945.86, 5,919.11 and 1,313.27

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Solution

The fourth proportional to 3,945.86, 5,919.11 and 1,313.27 is: 1,970.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.86 : 5,919.11 = 1,313.27 : x
  2. Step 2: Convert to fraction form
    3,945.86/5,919.11 = 1,313.27/x
  3. Step 3: Cross multiply
    3,945.86x = 5,919.11 × 1,313.27
  4. Step 4: Simplify right side
    3,945.86x = 7,773,389.59
  5. Step 5: Solve for x
    x = 7,773,389.59/3,945.86
  6. Step 6: Final answer
    x = 1,970.01

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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.