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Finding the Fourth Proportional to 3,910.96, 5,867.66 and 1,314.02

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Solution

The fourth proportional to 3,910.96, 5,867.66 and 1,314.02 is: 1,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.96 : 5,867.66 = 1,314.02 : x
  2. Step 2: Convert to fraction form
    3,910.96/5,867.66 = 1,314.02/x
  3. Step 3: Cross multiply
    3,910.96x = 5,867.66 × 1,314.02
  4. Step 4: Simplify right side
    3,910.96x = 7,710,222.59
  5. Step 5: Solve for x
    x = 7,710,222.59/3,910.96
  6. Step 6: Final answer
    x = 1,971.44

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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.