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Finding the Fourth Proportional to 3,967.81, 5,947.11 and 1,501.06

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Solution

The fourth proportional to 3,967.81, 5,947.11 and 1,501.06 is: 2,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.81 : 5,947.11 = 1,501.06 : x
  2. Step 2: Convert to fraction form
    3,967.81/5,947.11 = 1,501.06/x
  3. Step 3: Cross multiply
    3,967.81x = 5,947.11 × 1,501.06
  4. Step 4: Simplify right side
    3,967.81x = 8,926,968.94
  5. Step 5: Solve for x
    x = 8,926,968.94/3,967.81
  6. Step 6: Final answer
    x = 2,249.85

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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.