Home / 3,937.11-5,906.31-1,164.06

Finding the Fourth Proportional to 3,937.11, 5,906.31 and 1,164.06

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Solution

The fourth proportional to 3,937.11, 5,906.31 and 1,164.06 is: 1,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.11 : 5,906.31 = 1,164.06 : x
  2. Step 2: Convert to fraction form
    3,937.11/5,906.31 = 1,164.06/x
  3. Step 3: Cross multiply
    3,937.11x = 5,906.31 × 1,164.06
  4. Step 4: Simplify right side
    3,937.11x = 6,875,299.22
  5. Step 5: Solve for x
    x = 6,875,299.22/3,937.11
  6. Step 6: Final answer
    x = 1,746.28

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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.