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Finding the Fourth Proportional to 6,481.56, 8,943.66 and 3,649.08

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Solution

The fourth proportional to 6,481.56, 8,943.66 and 3,649.08 is: 5,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.56 : 8,943.66 = 3,649.08 : x
  2. Step 2: Convert to fraction form
    6,481.56/8,943.66 = 3,649.08/x
  3. Step 3: Cross multiply
    6,481.56x = 8,943.66 × 3,649.08
  4. Step 4: Simplify right side
    6,481.56x = 32,636,130.83
  5. Step 5: Solve for x
    x = 32,636,130.83/6,481.56
  6. Step 6: Final answer
    x = 5,035.23

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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.