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Finding the Fourth Proportional to 3,733.65, 5,604.29 and 3,082.31

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Solution

The fourth proportional to 3,733.65, 5,604.29 and 3,082.31 is: 4,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.65 : 5,604.29 = 3,082.31 : x
  2. Step 2: Convert to fraction form
    3,733.65/5,604.29 = 3,082.31/x
  3. Step 3: Cross multiply
    3,733.65x = 5,604.29 × 3,082.31
  4. Step 4: Simplify right side
    3,733.65x = 17,274,159.11
  5. Step 5: Solve for x
    x = 17,274,159.11/3,733.65
  6. Step 6: Final answer
    x = 4,626.61

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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.