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Finding the Fourth Proportional to 5,219.24, 7,829.50 and 2,140.84

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Solution

The fourth proportional to 5,219.24, 7,829.50 and 2,140.84 is: 3,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.24 : 7,829.50 = 2,140.84 : x
  2. Step 2: Convert to fraction form
    5,219.24/7,829.50 = 2,140.84/x
  3. Step 3: Cross multiply
    5,219.24x = 7,829.50 × 2,140.84
  4. Step 4: Simplify right side
    5,219.24x = 16,761,706.78
  5. Step 5: Solve for x
    x = 16,761,706.78/5,219.24
  6. Step 6: Final answer
    x = 3,211.52

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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.