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Finding the Fourth Proportional to 3,519, 5,276.58 and 2,286.84

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Solution

The fourth proportional to 3,519, 5,276.58 and 2,286.84 is: 3,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519 : 5,276.58 = 2,286.84 : x
  2. Step 2: Convert to fraction form
    3,519/5,276.58 = 2,286.84/x
  3. Step 3: Cross multiply
    3,519x = 5,276.58 × 2,286.84
  4. Step 4: Simplify right side
    3,519x = 12,066,694.21
  5. Step 5: Solve for x
    x = 12,066,694.21/3,519
  6. Step 6: Final answer
    x = 3,429.01

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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.