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Finding the Fourth Proportional to 3,694.80, 5,541.84 and 958.80

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Solution

The fourth proportional to 3,694.80, 5,541.84 and 958.80 is: 1,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.80 : 5,541.84 = 958.80 : x
  2. Step 2: Convert to fraction form
    3,694.80/5,541.84 = 958.80/x
  3. Step 3: Cross multiply
    3,694.80x = 5,541.84 × 958.80
  4. Step 4: Simplify right side
    3,694.80x = 5,313,516.19
  5. Step 5: Solve for x
    x = 5,313,516.19/3,694.80
  6. Step 6: Final answer
    x = 1,438.11

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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.