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Finding the Fourth Proportional to 3,476.46, 5,214.69 and 1,169.58

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Solution

The fourth proportional to 3,476.46, 5,214.69 and 1,169.58 is: 1,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.46 : 5,214.69 = 1,169.58 : x
  2. Step 2: Convert to fraction form
    3,476.46/5,214.69 = 1,169.58/x
  3. Step 3: Cross multiply
    3,476.46x = 5,214.69 × 1,169.58
  4. Step 4: Simplify right side
    3,476.46x = 6,098,997.13
  5. Step 5: Solve for x
    x = 6,098,997.13/3,476.46
  6. Step 6: Final answer
    x = 1,754.37

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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.