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Finding the Fourth Proportional to 3,857.74, 5,318.49 and 2,529.34

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Solution

The fourth proportional to 3,857.74, 5,318.49 and 2,529.34 is: 3,487.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.74 : 5,318.49 = 2,529.34 : x
  2. Step 2: Convert to fraction form
    3,857.74/5,318.49 = 2,529.34/x
  3. Step 3: Cross multiply
    3,857.74x = 5,318.49 × 2,529.34
  4. Step 4: Simplify right side
    3,857.74x = 13,452,269.50
  5. Step 5: Solve for x
    x = 13,452,269.50/3,857.74
  6. Step 6: Final answer
    x = 3,487.09

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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.