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Finding the Fourth Proportional to 5,589.60, 7,712.74 and 3,231.28

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Solution

The fourth proportional to 5,589.60, 7,712.74 and 3,231.28 is: 4,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.60 : 7,712.74 = 3,231.28 : x
  2. Step 2: Convert to fraction form
    5,589.60/7,712.74 = 3,231.28/x
  3. Step 3: Cross multiply
    5,589.60x = 7,712.74 × 3,231.28
  4. Step 4: Simplify right side
    5,589.60x = 24,922,018.01
  5. Step 5: Solve for x
    x = 24,922,018.01/5,589.60
  6. Step 6: Final answer
    x = 4,458.64

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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.