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Finding the Fourth Proportional to 4,601.07, 6,902.42 and 2,138.67

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Solution

The fourth proportional to 4,601.07, 6,902.42 and 2,138.67 is: 3,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.07 : 6,902.42 = 2,138.67 : x
  2. Step 2: Convert to fraction form
    4,601.07/6,902.42 = 2,138.67/x
  3. Step 3: Cross multiply
    4,601.07x = 6,902.42 × 2,138.67
  4. Step 4: Simplify right side
    4,601.07x = 14,761,987.89
  5. Step 5: Solve for x
    x = 14,761,987.89/4,601.07
  6. Step 6: Final answer
    x = 3,208.38

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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.