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Finding the Fourth Proportional to 3,694.50, 5,541.75 and 958.50

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Solution

The fourth proportional to 3,694.50, 5,541.75 and 958.50 is: 1,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.50 : 5,541.75 = 958.50 : x
  2. Step 2: Convert to fraction form
    3,694.50/5,541.75 = 958.50/x
  3. Step 3: Cross multiply
    3,694.50x = 5,541.75 × 958.50
  4. Step 4: Simplify right side
    3,694.50x = 5,311,767.38
  5. Step 5: Solve for x
    x = 5,311,767.38/3,694.50
  6. Step 6: Final answer
    x = 1,437.75

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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.