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Finding the Fourth Proportional to 4,286.19, 6,428.17 and 1,819.74

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Solution

The fourth proportional to 4,286.19, 6,428.17 and 1,819.74 is: 2,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.19 : 6,428.17 = 1,819.74 : x
  2. Step 2: Convert to fraction form
    4,286.19/6,428.17 = 1,819.74/x
  3. Step 3: Cross multiply
    4,286.19x = 6,428.17 × 1,819.74
  4. Step 4: Simplify right side
    4,286.19x = 11,697,598.08
  5. Step 5: Solve for x
    x = 11,697,598.08/4,286.19
  6. Step 6: Final answer
    x = 2,729.14

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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.