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Finding the Fourth Proportional to 6,200.28, 8,555.22 and 3,843

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Solution

The fourth proportional to 6,200.28, 8,555.22 and 3,843 is: 5,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.28 : 8,555.22 = 3,843 : x
  2. Step 2: Convert to fraction form
    6,200.28/8,555.22 = 3,843/x
  3. Step 3: Cross multiply
    6,200.28x = 8,555.22 × 3,843
  4. Step 4: Simplify right side
    6,200.28x = 32,877,710.46
  5. Step 5: Solve for x
    x = 32,877,710.46/6,200.28
  6. Step 6: Final answer
    x = 5,302.62

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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.