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Finding the Fourth Proportional to 3,475.90, 5,213.94 and 1,626.58

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Solution

The fourth proportional to 3,475.90, 5,213.94 and 1,626.58 is: 2,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.90 : 5,213.94 = 1,626.58 : x
  2. Step 2: Convert to fraction form
    3,475.90/5,213.94 = 1,626.58/x
  3. Step 3: Cross multiply
    3,475.90x = 5,213.94 × 1,626.58
  4. Step 4: Simplify right side
    3,475.90x = 8,480,890.53
  5. Step 5: Solve for x
    x = 8,480,890.53/3,475.90
  6. Step 6: Final answer
    x = 2,439.91

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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.