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Finding the Fourth Proportional to 3,911.93, 5,867.89 and 1,316.69

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Solution

The fourth proportional to 3,911.93, 5,867.89 and 1,316.69 is: 1,975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.93 : 5,867.89 = 1,316.69 : x
  2. Step 2: Convert to fraction form
    3,911.93/5,867.89 = 1,316.69/x
  3. Step 3: Cross multiply
    3,911.93x = 5,867.89 × 1,316.69
  4. Step 4: Simplify right side
    3,911.93x = 7,726,192.08
  5. Step 5: Solve for x
    x = 7,726,192.08/3,911.93
  6. Step 6: Final answer
    x = 1,975.03

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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.