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Finding the Fourth Proportional to 6,213.84, 8,574.57 and 3,661.20

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Solution

The fourth proportional to 6,213.84, 8,574.57 and 3,661.20 is: 5,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.84 : 8,574.57 = 3,661.20 : x
  2. Step 2: Convert to fraction form
    6,213.84/8,574.57 = 3,661.20/x
  3. Step 3: Cross multiply
    6,213.84x = 8,574.57 × 3,661.20
  4. Step 4: Simplify right side
    6,213.84x = 31,393,215.68
  5. Step 5: Solve for x
    x = 31,393,215.68/6,213.84
  6. Step 6: Final answer
    x = 5,052.14

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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.