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Finding the Fourth Proportional to 3,202.57, 4,416.18 and 2,529.26

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Solution

The fourth proportional to 3,202.57, 4,416.18 and 2,529.26 is: 3,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.57 : 4,416.18 = 2,529.26 : x
  2. Step 2: Convert to fraction form
    3,202.57/4,416.18 = 2,529.26/x
  3. Step 3: Cross multiply
    3,202.57x = 4,416.18 × 2,529.26
  4. Step 4: Simplify right side
    3,202.57x = 11,169,667.43
  5. Step 5: Solve for x
    x = 11,169,667.43/3,202.57
  6. Step 6: Final answer
    x = 3,487.72

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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.