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Finding the Fourth Proportional to 5,649.54, 7,795.87 and 3,291.90

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Solution

The fourth proportional to 5,649.54, 7,795.87 and 3,291.90 is: 4,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.54 : 7,795.87 = 3,291.90 : x
  2. Step 2: Convert to fraction form
    5,649.54/7,795.87 = 3,291.90/x
  3. Step 3: Cross multiply
    5,649.54x = 7,795.87 × 3,291.90
  4. Step 4: Simplify right side
    5,649.54x = 25,663,224.45
  5. Step 5: Solve for x
    x = 25,663,224.45/5,649.54
  6. Step 6: Final answer
    x = 4,542.53

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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.