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Finding the Fourth Proportional to 4,416.14, 6,624.76 and 1,819.82

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Solution

The fourth proportional to 4,416.14, 6,624.76 and 1,819.82 is: 2,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416.14 : 6,624.76 = 1,819.82 : x
  2. Step 2: Convert to fraction form
    4,416.14/6,624.76 = 1,819.82/x
  3. Step 3: Cross multiply
    4,416.14x = 6,624.76 × 1,819.82
  4. Step 4: Simplify right side
    4,416.14x = 12,055,870.74
  5. Step 5: Solve for x
    x = 12,055,870.74/4,416.14
  6. Step 6: Final answer
    x = 2,729.96

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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.