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Finding the Fourth Proportional to 5,219.46, 7,829.21 and 1,521.78

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Solution

The fourth proportional to 5,219.46, 7,829.21 and 1,521.78 is: 2,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.46 : 7,829.21 = 1,521.78 : x
  2. Step 2: Convert to fraction form
    5,219.46/7,829.21 = 1,521.78/x
  3. Step 3: Cross multiply
    5,219.46x = 7,829.21 × 1,521.78
  4. Step 4: Simplify right side
    5,219.46x = 11,914,335.19
  5. Step 5: Solve for x
    x = 11,914,335.19/5,219.46
  6. Step 6: Final answer
    x = 2,282.68

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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.