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Finding the Fourth Proportional to 4,425.70, 6,638.79 and 1,138.82

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Solution

The fourth proportional to 4,425.70, 6,638.79 and 1,138.82 is: 1,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.70 : 6,638.79 = 1,138.82 : x
  2. Step 2: Convert to fraction form
    4,425.70/6,638.79 = 1,138.82/x
  3. Step 3: Cross multiply
    4,425.70x = 6,638.79 × 1,138.82
  4. Step 4: Simplify right side
    4,425.70x = 7,560,386.83
  5. Step 5: Solve for x
    x = 7,560,386.83/4,425.70
  6. Step 6: Final answer
    x = 1,708.29

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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.