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Finding the Fourth Proportional to 6,267.21, 8,648.19 and 3,578.42

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Solution

The fourth proportional to 6,267.21, 8,648.19 and 3,578.42 is: 4,937.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.21 : 8,648.19 = 3,578.42 : x
  2. Step 2: Convert to fraction form
    6,267.21/8,648.19 = 3,578.42/x
  3. Step 3: Cross multiply
    6,267.21x = 8,648.19 × 3,578.42
  4. Step 4: Simplify right side
    6,267.21x = 30,946,812.82
  5. Step 5: Solve for x
    x = 30,946,812.82/6,267.21
  6. Step 6: Final answer
    x = 4,937.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.