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Finding the Fourth Proportional to 4,411.78, 6,615.67 and 3,174

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Solution

The fourth proportional to 4,411.78, 6,615.67 and 3,174 is: 4,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.78 : 6,615.67 = 3,174 : x
  2. Step 2: Convert to fraction form
    4,411.78/6,615.67 = 3,174/x
  3. Step 3: Cross multiply
    4,411.78x = 6,615.67 × 3,174
  4. Step 4: Simplify right side
    4,411.78x = 20,998,136.58
  5. Step 5: Solve for x
    x = 20,998,136.58/4,411.78
  6. Step 6: Final answer
    x = 4,759.56

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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.