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Finding the Fourth Proportional to 3,959.48, 5,943.46 and 2,011.16

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Solution

The fourth proportional to 3,959.48, 5,943.46 and 2,011.16 is: 3,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.48 : 5,943.46 = 2,011.16 : x
  2. Step 2: Convert to fraction form
    3,959.48/5,943.46 = 2,011.16/x
  3. Step 3: Cross multiply
    3,959.48x = 5,943.46 × 2,011.16
  4. Step 4: Simplify right side
    3,959.48x = 11,953,249.01
  5. Step 5: Solve for x
    x = 11,953,249.01/3,959.48
  6. Step 6: Final answer
    x = 3,018.89

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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.