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Finding the Fourth Proportional to 4,138.87, 6,193.73 and 3,157.15

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Solution

The fourth proportional to 4,138.87, 6,193.73 and 3,157.15 is: 4,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.87 : 6,193.73 = 3,157.15 : x
  2. Step 2: Convert to fraction form
    4,138.87/6,193.73 = 3,157.15/x
  3. Step 3: Cross multiply
    4,138.87x = 6,193.73 × 3,157.15
  4. Step 4: Simplify right side
    4,138.87x = 19,554,534.67
  5. Step 5: Solve for x
    x = 19,554,534.67/4,138.87
  6. Step 6: Final answer
    x = 4,724.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.