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Finding the Fourth Proportional to 3,991.77, 5,513.65 and 3,364.38

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Solution

The fourth proportional to 3,991.77, 5,513.65 and 3,364.38 is: 4,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.77 : 5,513.65 = 3,364.38 : x
  2. Step 2: Convert to fraction form
    3,991.77/5,513.65 = 3,364.38/x
  3. Step 3: Cross multiply
    3,991.77x = 5,513.65 × 3,364.38
  4. Step 4: Simplify right side
    3,991.77x = 18,550,013.79
  5. Step 5: Solve for x
    x = 18,550,013.79/3,991.77
  6. Step 6: Final answer
    x = 4,647.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.