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Finding the Fourth Proportional to 4,412.69, 6,650.02 and 3,974.49

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Solution

The fourth proportional to 4,412.69, 6,650.02 and 3,974.49 is: 5,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,412.69 : 6,650.02 = 3,974.49 : x
  2. Step 2: Convert to fraction form
    4,412.69/6,650.02 = 3,974.49/x
  3. Step 3: Cross multiply
    4,412.69x = 6,650.02 × 3,974.49
  4. Step 4: Simplify right side
    4,412.69x = 26,430,404.74
  5. Step 5: Solve for x
    x = 26,430,404.74/4,412.69
  6. Step 6: Final answer
    x = 5,989.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.