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Finding the Fourth Proportional to 6,001.24, 8,282.46 and 3,643.24

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Solution

The fourth proportional to 6,001.24, 8,282.46 and 3,643.24 is: 5,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.24 : 8,282.46 = 3,643.24 : x
  2. Step 2: Convert to fraction form
    6,001.24/8,282.46 = 3,643.24/x
  3. Step 3: Cross multiply
    6,001.24x = 8,282.46 × 3,643.24
  4. Step 4: Simplify right side
    6,001.24x = 30,174,989.57
  5. Step 5: Solve for x
    x = 30,174,989.57/6,001.24
  6. Step 6: Final answer
    x = 5,028.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.