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Finding the Fourth Proportional to 4,138.74, 6,206.15 and 1,504.39

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Solution

The fourth proportional to 4,138.74, 6,206.15 and 1,504.39 is: 2,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.74 : 6,206.15 = 1,504.39 : x
  2. Step 2: Convert to fraction form
    4,138.74/6,206.15 = 1,504.39/x
  3. Step 3: Cross multiply
    4,138.74x = 6,206.15 × 1,504.39
  4. Step 4: Simplify right side
    4,138.74x = 9,336,450.72
  5. Step 5: Solve for x
    x = 9,336,450.72/4,138.74
  6. Step 6: Final answer
    x = 2,255.87

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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.