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Finding the Fourth Proportional to 4,145.88, 6,221.52 and 3,812.16

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Solution

The fourth proportional to 4,145.88, 6,221.52 and 3,812.16 is: 5,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.88 : 6,221.52 = 3,812.16 : x
  2. Step 2: Convert to fraction form
    4,145.88/6,221.52 = 3,812.16/x
  3. Step 3: Cross multiply
    4,145.88x = 6,221.52 × 3,812.16
  4. Step 4: Simplify right side
    4,145.88x = 23,717,429.68
  5. Step 5: Solve for x
    x = 23,717,429.68/4,145.88
  6. Step 6: Final answer
    x = 5,720.72

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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.