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Finding the Fourth Proportional to 5,153.94, 7,728.48 and 2,379.78

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Solution

The fourth proportional to 5,153.94, 7,728.48 and 2,379.78 is: 3,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.94 : 7,728.48 = 2,379.78 : x
  2. Step 2: Convert to fraction form
    5,153.94/7,728.48 = 2,379.78/x
  3. Step 3: Cross multiply
    5,153.94x = 7,728.48 × 2,379.78
  4. Step 4: Simplify right side
    5,153.94x = 18,392,082.13
  5. Step 5: Solve for x
    x = 18,392,082.13/5,153.94
  6. Step 6: Final answer
    x = 3,568.55

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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.