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Finding the Fourth Proportional to 3,467.62, 5,202.58 and 1,713.88

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Solution

The fourth proportional to 3,467.62, 5,202.58 and 1,713.88 is: 2,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.62 : 5,202.58 = 1,713.88 : x
  2. Step 2: Convert to fraction form
    3,467.62/5,202.58 = 1,713.88/x
  3. Step 3: Cross multiply
    3,467.62x = 5,202.58 × 1,713.88
  4. Step 4: Simplify right side
    3,467.62x = 8,916,597.81
  5. Step 5: Solve for x
    x = 8,916,597.81/3,467.62
  6. Step 6: Final answer
    x = 2,571.39

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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.