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Finding the Fourth Proportional to 4,602.44, 6,902.75 and 2,138.42

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Solution

The fourth proportional to 4,602.44, 6,902.75 and 2,138.42 is: 3,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.44 : 6,902.75 = 2,138.42 : x
  2. Step 2: Convert to fraction form
    4,602.44/6,902.75 = 2,138.42/x
  3. Step 3: Cross multiply
    4,602.44x = 6,902.75 × 2,138.42
  4. Step 4: Simplify right side
    4,602.44x = 14,761,001.26
  5. Step 5: Solve for x
    x = 14,761,001.26/4,602.44
  6. Step 6: Final answer
    x = 3,207.21

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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.