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Finding the Fourth Proportional to 6,384.08, 8,809.08 and 3,589.04

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Solution

The fourth proportional to 6,384.08, 8,809.08 and 3,589.04 is: 4,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.08 : 8,809.08 = 3,589.04 : x
  2. Step 2: Convert to fraction form
    6,384.08/8,809.08 = 3,589.04/x
  3. Step 3: Cross multiply
    6,384.08x = 8,809.08 × 3,589.04
  4. Step 4: Simplify right side
    6,384.08x = 31,616,140.48
  5. Step 5: Solve for x
    x = 31,616,140.48/6,384.08
  6. Step 6: Final answer
    x = 4,952.34

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Why These Related Problems?

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