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Finding the Fourth Proportional to 5,682.87, 8,522.28 and 3,484.98

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Solution

The fourth proportional to 5,682.87, 8,522.28 and 3,484.98 is: 5,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.87 : 8,522.28 = 3,484.98 : x
  2. Step 2: Convert to fraction form
    5,682.87/8,522.28 = 3,484.98/x
  3. Step 3: Cross multiply
    5,682.87x = 8,522.28 × 3,484.98
  4. Step 4: Simplify right side
    5,682.87x = 29,699,975.35
  5. Step 5: Solve for x
    x = 29,699,975.35/5,682.87
  6. Step 6: Final answer
    x = 5,226.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.