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Finding the Fourth Proportional to 4,416.70, 6,624.25 and 2,571.43

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Solution

The fourth proportional to 4,416.70, 6,624.25 and 2,571.43 is: 3,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416.70 : 6,624.25 = 2,571.43 : x
  2. Step 2: Convert to fraction form
    4,416.70/6,624.25 = 2,571.43/x
  3. Step 3: Cross multiply
    4,416.70x = 6,624.25 × 2,571.43
  4. Step 4: Simplify right side
    4,416.70x = 17,033,795.18
  5. Step 5: Solve for x
    x = 17,033,795.18/4,416.70
  6. Step 6: Final answer
    x = 3,856.68

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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.