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Finding the Fourth Proportional to 4,150.78, 5,728.08 and 2,287.78

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Solution

The fourth proportional to 4,150.78, 5,728.08 and 2,287.78 is: 3,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.78 : 5,728.08 = 2,287.78 : x
  2. Step 2: Convert to fraction form
    4,150.78/5,728.08 = 2,287.78/x
  3. Step 3: Cross multiply
    4,150.78x = 5,728.08 × 2,287.78
  4. Step 4: Simplify right side
    4,150.78x = 13,104,586.86
  5. Step 5: Solve for x
    x = 13,104,586.86/4,150.78
  6. Step 6: Final answer
    x = 3,157.14

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