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Finding the Fourth Proportional to 4,213.78, 6,320.67 and 4,006.42

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Solution

The fourth proportional to 4,213.78, 6,320.67 and 4,006.42 is: 6,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.78 : 6,320.67 = 4,006.42 : x
  2. Step 2: Convert to fraction form
    4,213.78/6,320.67 = 4,006.42/x
  3. Step 3: Cross multiply
    4,213.78x = 6,320.67 × 4,006.42
  4. Step 4: Simplify right side
    4,213.78x = 25,323,258.70
  5. Step 5: Solve for x
    x = 25,323,258.70/4,213.78
  6. Step 6: Final answer
    x = 6,009.63

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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.