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Finding the Fourth Proportional to 5,626.25, 8,404.29 and 4,168.25

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Solution

The fourth proportional to 5,626.25, 8,404.29 and 4,168.25 is: 6,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.25 : 8,404.29 = 4,168.25 : x
  2. Step 2: Convert to fraction form
    5,626.25/8,404.29 = 4,168.25/x
  3. Step 3: Cross multiply
    5,626.25x = 8,404.29 × 4,168.25
  4. Step 4: Simplify right side
    5,626.25x = 35,031,124.14
  5. Step 5: Solve for x
    x = 35,031,124.14/5,626.25
  6. Step 6: Final answer
    x = 6,226.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.