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Finding the Fourth Proportional to 4,238.88, 5,847.24 and 3,400.52

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Solution

The fourth proportional to 4,238.88, 5,847.24 and 3,400.52 is: 4,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.88 : 5,847.24 = 3,400.52 : x
  2. Step 2: Convert to fraction form
    4,238.88/5,847.24 = 3,400.52/x
  3. Step 3: Cross multiply
    4,238.88x = 5,847.24 × 3,400.52
  4. Step 4: Simplify right side
    4,238.88x = 19,883,656.56
  5. Step 5: Solve for x
    x = 19,883,656.56/4,238.88
  6. Step 6: Final answer
    x = 4,690.78

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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.