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Finding the Fourth Proportional to 3,211.84, 4,812.72 and 2,483.20

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Solution

The fourth proportional to 3,211.84, 4,812.72 and 2,483.20 is: 3,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.84 : 4,812.72 = 2,483.20 : x
  2. Step 2: Convert to fraction form
    3,211.84/4,812.72 = 2,483.20/x
  3. Step 3: Cross multiply
    3,211.84x = 4,812.72 × 2,483.20
  4. Step 4: Simplify right side
    3,211.84x = 11,950,946.30
  5. Step 5: Solve for x
    x = 11,950,946.30/3,211.84
  6. Step 6: Final answer
    x = 3,720.90

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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.