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Finding the Fourth Proportional to 4,571.14, 6,856.71 and 4,214.47

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Solution

The fourth proportional to 4,571.14, 6,856.71 and 4,214.47 is: 6,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.14 : 6,856.71 = 4,214.47 : x
  2. Step 2: Convert to fraction form
    4,571.14/6,856.71 = 4,214.47/x
  3. Step 3: Cross multiply
    4,571.14x = 6,856.71 × 4,214.47
  4. Step 4: Simplify right side
    4,571.14x = 28,897,398.59
  5. Step 5: Solve for x
    x = 28,897,398.59/4,571.14
  6. Step 6: Final answer
    x = 6,321.71

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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.