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Finding the Fourth Proportional to 5,649.96, 7,797.12 and 3,132

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Solution

The fourth proportional to 5,649.96, 7,797.12 and 3,132 is: 4,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.96 : 7,797.12 = 3,132 : x
  2. Step 2: Convert to fraction form
    5,649.96/7,797.12 = 3,132/x
  3. Step 3: Cross multiply
    5,649.96x = 7,797.12 × 3,132
  4. Step 4: Simplify right side
    5,649.96x = 24,420,579.84
  5. Step 5: Solve for x
    x = 24,420,579.84/5,649.96
  6. Step 6: Final answer
    x = 4,322.26

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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.