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Finding the Fourth Proportional to 3,429.12, 5,145.12 and 1,481.76

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Solution

The fourth proportional to 3,429.12, 5,145.12 and 1,481.76 is: 2,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.12 : 5,145.12 = 1,481.76 : x
  2. Step 2: Convert to fraction form
    3,429.12/5,145.12 = 1,481.76/x
  3. Step 3: Cross multiply
    3,429.12x = 5,145.12 × 1,481.76
  4. Step 4: Simplify right side
    3,429.12x = 7,623,833.01
  5. Step 5: Solve for x
    x = 7,623,833.01/3,429.12
  6. Step 6: Final answer
    x = 2,223.26

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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.