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Finding the Fourth Proportional to 3,674.91, 5,506.48 and 3,301.90

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Solution

The fourth proportional to 3,674.91, 5,506.48 and 3,301.90 is: 4,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.91 : 5,506.48 = 3,301.90 : x
  2. Step 2: Convert to fraction form
    3,674.91/5,506.48 = 3,301.90/x
  3. Step 3: Cross multiply
    3,674.91x = 5,506.48 × 3,301.90
  4. Step 4: Simplify right side
    3,674.91x = 18,181,846.31
  5. Step 5: Solve for x
    x = 18,181,846.31/3,674.91
  6. Step 6: Final answer
    x = 4,947.56

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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.