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Finding the Fourth Proportional to 3,911.68, 5,867.51 and 1,316.44

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Solution

The fourth proportional to 3,911.68, 5,867.51 and 1,316.44 is: 1,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.68 : 5,867.51 = 1,316.44 : x
  2. Step 2: Convert to fraction form
    3,911.68/5,867.51 = 1,316.44/x
  3. Step 3: Cross multiply
    3,911.68x = 5,867.51 × 1,316.44
  4. Step 4: Simplify right side
    3,911.68x = 7,724,213.49
  5. Step 5: Solve for x
    x = 7,724,213.49/3,911.68
  6. Step 6: Final answer
    x = 1,974.65

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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.