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Finding the Fourth Proportional to 3,674.66, 5,506.11 and 3,301.65

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Solution

The fourth proportional to 3,674.66, 5,506.11 and 3,301.65 is: 4,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.66 : 5,506.11 = 3,301.65 : x
  2. Step 2: Convert to fraction form
    3,674.66/5,506.11 = 3,301.65/x
  3. Step 3: Cross multiply
    3,674.66x = 5,506.11 × 3,301.65
  4. Step 4: Simplify right side
    3,674.66x = 18,179,231.57
  5. Step 5: Solve for x
    x = 18,179,231.57/3,674.66
  6. Step 6: Final answer
    x = 4,947.19

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1.5x scale

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.