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Finding the Fourth Proportional to 5,600.27, 7,728.54 and 3,082.64

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Solution

The fourth proportional to 5,600.27, 7,728.54 and 3,082.64 is: 4,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.27 : 7,728.54 = 3,082.64 : x
  2. Step 2: Convert to fraction form
    5,600.27/7,728.54 = 3,082.64/x
  3. Step 3: Cross multiply
    5,600.27x = 7,728.54 × 3,082.64
  4. Step 4: Simplify right side
    5,600.27x = 23,824,306.55
  5. Step 5: Solve for x
    x = 23,824,306.55/5,600.27
  6. Step 6: Final answer
    x = 4,254.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.