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Finding the Fourth Proportional to 8,219.62, 12,328.80 and 3,025

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Solution

The fourth proportional to 8,219.62, 12,328.80 and 3,025 is: 4,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.62 : 12,328.80 = 3,025 : x
  2. Step 2: Convert to fraction form
    8,219.62/12,328.80 = 3,025/x
  3. Step 3: Cross multiply
    8,219.62x = 12,328.80 × 3,025
  4. Step 4: Simplify right side
    8,219.62x = 37,294,620
  5. Step 5: Solve for x
    x = 37,294,620/8,219.62
  6. Step 6: Final answer
    x = 4,537.27

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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.