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Finding the Fourth Proportional to 5,230.62, 7,213.19 and 3,532.86

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Solution

The fourth proportional to 5,230.62, 7,213.19 and 3,532.86 is: 4,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.62 : 7,213.19 = 3,532.86 : x
  2. Step 2: Convert to fraction form
    5,230.62/7,213.19 = 3,532.86/x
  3. Step 3: Cross multiply
    5,230.62x = 7,213.19 × 3,532.86
  4. Step 4: Simplify right side
    5,230.62x = 25,483,172.76
  5. Step 5: Solve for x
    x = 25,483,172.76/5,230.62
  6. Step 6: Final answer
    x = 4,871.92

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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.