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Finding the Fourth Proportional to 5,238.59, 7,229.60 and 3,000.77

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Solution

The fourth proportional to 5,238.59, 7,229.60 and 3,000.77 is: 4,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.59 : 7,229.60 = 3,000.77 : x
  2. Step 2: Convert to fraction form
    5,238.59/7,229.60 = 3,000.77/x
  3. Step 3: Cross multiply
    5,238.59x = 7,229.60 × 3,000.77
  4. Step 4: Simplify right side
    5,238.59x = 21,694,366.79
  5. Step 5: Solve for x
    x = 21,694,366.79/5,238.59
  6. Step 6: Final answer
    x = 4,141.26

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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.