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Finding the Fourth Proportional to 5,773.64, 7,967.76 and 3,255.83

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Solution

The fourth proportional to 5,773.64, 7,967.76 and 3,255.83 is: 4,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.64 : 7,967.76 = 3,255.83 : x
  2. Step 2: Convert to fraction form
    5,773.64/7,967.76 = 3,255.83/x
  3. Step 3: Cross multiply
    5,773.64x = 7,967.76 × 3,255.83
  4. Step 4: Simplify right side
    5,773.64x = 25,941,632.20
  5. Step 5: Solve for x
    x = 25,941,632.20/5,773.64
  6. Step 6: Final answer
    x = 4,493.12

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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.