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Finding the Fourth Proportional to 6,389.38, 8,816 and 3,736.28

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Solution

The fourth proportional to 6,389.38, 8,816 and 3,736.28 is: 5,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.38 : 8,816 = 3,736.28 : x
  2. Step 2: Convert to fraction form
    6,389.38/8,816 = 3,736.28/x
  3. Step 3: Cross multiply
    6,389.38x = 8,816 × 3,736.28
  4. Step 4: Simplify right side
    6,389.38x = 32,939,044.48
  5. Step 5: Solve for x
    x = 32,939,044.48/6,389.38
  6. Step 6: Final answer
    x = 5,155.28

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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.