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Finding the Fourth Proportional to 5,230.32, 7,844.67 and 1,531.68

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Solution

The fourth proportional to 5,230.32, 7,844.67 and 1,531.68 is: 2,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.32 : 7,844.67 = 1,531.68 : x
  2. Step 2: Convert to fraction form
    5,230.32/7,844.67 = 1,531.68/x
  3. Step 3: Cross multiply
    5,230.32x = 7,844.67 × 1,531.68
  4. Step 4: Simplify right side
    5,230.32x = 12,015,524.15
  5. Step 5: Solve for x
    x = 12,015,524.15/5,230.32
  6. Step 6: Final answer
    x = 2,297.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.