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Finding the Fourth Proportional to 3,910.44, 5,865.68 and 1,313.40

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Solution

The fourth proportional to 3,910.44, 5,865.68 and 1,313.40 is: 1,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.44 : 5,865.68 = 1,313.40 : x
  2. Step 2: Convert to fraction form
    3,910.44/5,865.68 = 1,313.40/x
  3. Step 3: Cross multiply
    3,910.44x = 5,865.68 × 1,313.40
  4. Step 4: Simplify right side
    3,910.44x = 7,703,984.11
  5. Step 5: Solve for x
    x = 7,703,984.11/3,910.44
  6. Step 6: Final answer
    x = 1,970.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.