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Finding the Fourth Proportional to 3,612, 5,414.74 and 1,302.96

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Solution

The fourth proportional to 3,612, 5,414.74 and 1,302.96 is: 1,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612 : 5,414.74 = 1,302.96 : x
  2. Step 2: Convert to fraction form
    3,612/5,414.74 = 1,302.96/x
  3. Step 3: Cross multiply
    3,612x = 5,414.74 × 1,302.96
  4. Step 4: Simplify right side
    3,612x = 7,055,189.63
  5. Step 5: Solve for x
    x = 7,055,189.63/3,612
  6. Step 6: Final answer
    x = 1,953.26

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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.