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Finding the Fourth Proportional to 5,649.95, 7,796.79 and 3,132.01

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Solution

The fourth proportional to 5,649.95, 7,796.79 and 3,132.01 is: 4,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.95 : 7,796.79 = 3,132.01 : x
  2. Step 2: Convert to fraction form
    5,649.95/7,796.79 = 3,132.01/x
  3. Step 3: Cross multiply
    5,649.95x = 7,796.79 × 3,132.01
  4. Step 4: Simplify right side
    5,649.95x = 24,419,624.25
  5. Step 5: Solve for x
    x = 24,419,624.25/5,649.95
  6. Step 6: Final answer
    x = 4,322.10

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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.