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Finding the Fourth Proportional to 4,138.78, 6,208.80 and 2,290.72

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Solution

The fourth proportional to 4,138.78, 6,208.80 and 2,290.72 is: 3,436.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.78 : 6,208.80 = 2,290.72 : x
  2. Step 2: Convert to fraction form
    4,138.78/6,208.80 = 2,290.72/x
  3. Step 3: Cross multiply
    4,138.78x = 6,208.80 × 2,290.72
  4. Step 4: Simplify right side
    4,138.78x = 14,222,622.34
  5. Step 5: Solve for x
    x = 14,222,622.34/4,138.78
  6. Step 6: Final answer
    x = 3,436.43

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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.