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Finding the Fourth Proportional to 3,474.52, 5,210.24 and 1,626.16

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Solution

The fourth proportional to 3,474.52, 5,210.24 and 1,626.16 is: 2,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.52 : 5,210.24 = 1,626.16 : x
  2. Step 2: Convert to fraction form
    3,474.52/5,210.24 = 1,626.16/x
  3. Step 3: Cross multiply
    3,474.52x = 5,210.24 × 1,626.16
  4. Step 4: Simplify right side
    3,474.52x = 8,472,683.88
  5. Step 5: Solve for x
    x = 8,472,683.88/3,474.52
  6. Step 6: Final answer
    x = 2,438.52

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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.