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Finding the Fourth Proportional to 3,910.74, 5,865.48 and 1,313.34

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Solution

The fourth proportional to 3,910.74, 5,865.48 and 1,313.34 is: 1,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.74 : 5,865.48 = 1,313.34 : x
  2. Step 2: Convert to fraction form
    3,910.74/5,865.48 = 1,313.34/x
  3. Step 3: Cross multiply
    3,910.74x = 5,865.48 × 1,313.34
  4. Step 4: Simplify right side
    3,910.74x = 7,703,369.50
  5. Step 5: Solve for x
    x = 7,703,369.50/3,910.74
  6. Step 6: Final answer
    x = 1,969.80

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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.