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Finding the Fourth Proportional to 2,829, 4,248.36 and 2,571.42

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Solution

The fourth proportional to 2,829, 4,248.36 and 2,571.42 is: 3,861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829 : 4,248.36 = 2,571.42 : x
  2. Step 2: Convert to fraction form
    2,829/4,248.36 = 2,571.42/x
  3. Step 3: Cross multiply
    2,829x = 4,248.36 × 2,571.42
  4. Step 4: Simplify right side
    2,829x = 10,924,317.87
  5. Step 5: Solve for x
    x = 10,924,317.87/2,829
  6. Step 6: Final answer
    x = 3,861.55

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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.