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Finding the Fourth Proportional to 5,230.70, 7,845.22 and 1,532.06

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Solution

The fourth proportional to 5,230.70, 7,845.22 and 1,532.06 is: 2,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.70 : 7,845.22 = 1,532.06 : x
  2. Step 2: Convert to fraction form
    5,230.70/7,845.22 = 1,532.06/x
  3. Step 3: Cross multiply
    5,230.70x = 7,845.22 × 1,532.06
  4. Step 4: Simplify right side
    5,230.70x = 12,019,304.70
  5. Step 5: Solve for x
    x = 12,019,304.70/5,230.70
  6. Step 6: Final answer
    x = 2,297.84

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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.