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Finding the Fourth Proportional to 6,443.26, 8,891.88 and 3,648.76

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Solution

The fourth proportional to 6,443.26, 8,891.88 and 3,648.76 is: 5,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.26 : 8,891.88 = 3,648.76 : x
  2. Step 2: Convert to fraction form
    6,443.26/8,891.88 = 3,648.76/x
  3. Step 3: Cross multiply
    6,443.26x = 8,891.88 × 3,648.76
  4. Step 4: Simplify right side
    6,443.26x = 32,444,336.07
  5. Step 5: Solve for x
    x = 32,444,336.07/6,443.26
  6. Step 6: Final answer
    x = 5,035.39

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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.