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Finding the Fourth Proportional to 5,650.14, 7,797.21 and 3,132.66

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Solution

The fourth proportional to 5,650.14, 7,797.21 and 3,132.66 is: 4,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.14 : 7,797.21 = 3,132.66 : x
  2. Step 2: Convert to fraction form
    5,650.14/7,797.21 = 3,132.66/x
  3. Step 3: Cross multiply
    5,650.14x = 7,797.21 × 3,132.66
  4. Step 4: Simplify right side
    5,650.14x = 24,426,007.88
  5. Step 5: Solve for x
    x = 24,426,007.88/5,650.14
  6. Step 6: Final answer
    x = 4,323.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.