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Finding the Fourth Proportional to 3,934.22, 5,900.13 and 3,318.14

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Solution

The fourth proportional to 3,934.22, 5,900.13 and 3,318.14 is: 4,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.22 : 5,900.13 = 3,318.14 : x
  2. Step 2: Convert to fraction form
    3,934.22/5,900.13 = 3,318.14/x
  3. Step 3: Cross multiply
    3,934.22x = 5,900.13 × 3,318.14
  4. Step 4: Simplify right side
    3,934.22x = 19,577,457.36
  5. Step 5: Solve for x
    x = 19,577,457.36/3,934.22
  6. Step 6: Final answer
    x = 4,976.20

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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.