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Finding the Fourth Proportional to 3,473.21, 5,209.92 and 1,525.37

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Solution

The fourth proportional to 3,473.21, 5,209.92 and 1,525.37 is: 2,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.21 : 5,209.92 = 1,525.37 : x
  2. Step 2: Convert to fraction form
    3,473.21/5,209.92 = 1,525.37/x
  3. Step 3: Cross multiply
    3,473.21x = 5,209.92 × 1,525.37
  4. Step 4: Simplify right side
    3,473.21x = 7,947,029.62
  5. Step 5: Solve for x
    x = 7,947,029.62/3,473.21
  6. Step 6: Final answer
    x = 2,288.10

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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.