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Finding the Fourth Proportional to 4,366, 6,549.06 and 2,422

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Solution

The fourth proportional to 4,366, 6,549.06 and 2,422 is: 3,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366 : 6,549.06 = 2,422 : x
  2. Step 2: Convert to fraction form
    4,366/6,549.06 = 2,422/x
  3. Step 3: Cross multiply
    4,366x = 6,549.06 × 2,422
  4. Step 4: Simplify right side
    4,366x = 15,861,823.32
  5. Step 5: Solve for x
    x = 15,861,823.32/4,366
  6. Step 6: Final answer
    x = 3,633.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.