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Finding the Fourth Proportional to 3,874.75, 5,812.17 and 953.05

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Solution

The fourth proportional to 3,874.75, 5,812.17 and 953.05 is: 1,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.75 : 5,812.17 = 953.05 : x
  2. Step 2: Convert to fraction form
    3,874.75/5,812.17 = 953.05/x
  3. Step 3: Cross multiply
    3,874.75x = 5,812.17 × 953.05
  4. Step 4: Simplify right side
    3,874.75x = 5,539,288.62
  5. Step 5: Solve for x
    x = 5,539,288.62/3,874.75
  6. Step 6: Final answer
    x = 1,429.59

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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.