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Finding the Fourth Proportional to 3,664.98, 5,497.74 and 2,022.30

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Solution

The fourth proportional to 3,664.98, 5,497.74 and 2,022.30 is: 3,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.98 : 5,497.74 = 2,022.30 : x
  2. Step 2: Convert to fraction form
    3,664.98/5,497.74 = 2,022.30/x
  3. Step 3: Cross multiply
    3,664.98x = 5,497.74 × 2,022.30
  4. Step 4: Simplify right side
    3,664.98x = 11,118,079.60
  5. Step 5: Solve for x
    x = 11,118,079.60/3,664.98
  6. Step 6: Final answer
    x = 3,033.60

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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.