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Finding the Fourth Proportional to 3,487.38, 5,230.52 and 1,021.62

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Solution

The fourth proportional to 3,487.38, 5,230.52 and 1,021.62 is: 1,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.38 : 5,230.52 = 1,021.62 : x
  2. Step 2: Convert to fraction form
    3,487.38/5,230.52 = 1,021.62/x
  3. Step 3: Cross multiply
    3,487.38x = 5,230.52 × 1,021.62
  4. Step 4: Simplify right side
    3,487.38x = 5,343,603.84
  5. Step 5: Solve for x
    x = 5,343,603.84/3,487.38
  6. Step 6: Final answer
    x = 1,532.27

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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.