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Finding the Fourth Proportional to 3,861.95, 5,792.95 and 940.24

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Solution

The fourth proportional to 3,861.95, 5,792.95 and 940.24 is: 1,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.95 : 5,792.95 = 940.24 : x
  2. Step 2: Convert to fraction form
    3,861.95/5,792.95 = 940.24/x
  3. Step 3: Cross multiply
    3,861.95x = 5,792.95 × 940.24
  4. Step 4: Simplify right side
    3,861.95x = 5,446,771.72
  5. Step 5: Solve for x
    x = 5,446,771.72/3,861.95
  6. Step 6: Final answer
    x = 1,410.37

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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.