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Finding the Fourth Proportional to 3,462.80, 5,195.60 and 1,412.24

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Solution

The fourth proportional to 3,462.80, 5,195.60 and 1,412.24 is: 2,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.80 : 5,195.60 = 1,412.24 : x
  2. Step 2: Convert to fraction form
    3,462.80/5,195.60 = 1,412.24/x
  3. Step 3: Cross multiply
    3,462.80x = 5,195.60 × 1,412.24
  4. Step 4: Simplify right side
    3,462.80x = 7,337,434.14
  5. Step 5: Solve for x
    x = 7,337,434.14/3,462.80
  6. Step 6: Final answer
    x = 2,118.93

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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.