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Finding the Fourth Proportional to 3,706.88, 5,119.32 and 3,207.12

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Solution

The fourth proportional to 3,706.88, 5,119.32 and 3,207.12 is: 4,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.88 : 5,119.32 = 3,207.12 : x
  2. Step 2: Convert to fraction form
    3,706.88/5,119.32 = 3,207.12/x
  3. Step 3: Cross multiply
    3,706.88x = 5,119.32 × 3,207.12
  4. Step 4: Simplify right side
    3,706.88x = 16,418,273.56
  5. Step 5: Solve for x
    x = 16,418,273.56/3,706.88
  6. Step 6: Final answer
    x = 4,429.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.