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Finding the Fourth Proportional to 5,649.48, 7,795.86 and 3,165

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Solution

The fourth proportional to 5,649.48, 7,795.86 and 3,165 is: 4,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.48 : 7,795.86 = 3,165 : x
  2. Step 2: Convert to fraction form
    5,649.48/7,795.86 = 3,165/x
  3. Step 3: Cross multiply
    5,649.48x = 7,795.86 × 3,165
  4. Step 4: Simplify right side
    5,649.48x = 24,673,896.90
  5. Step 5: Solve for x
    x = 24,673,896.90/5,649.48
  6. Step 6: Final answer
    x = 4,367.46

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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.