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Finding the Fourth Proportional to 4,466.82, 6,164.22 and 2,698.10

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Solution

The fourth proportional to 4,466.82, 6,164.22 and 2,698.10 is: 3,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.82 : 6,164.22 = 2,698.10 : x
  2. Step 2: Convert to fraction form
    4,466.82/6,164.22 = 2,698.10/x
  3. Step 3: Cross multiply
    4,466.82x = 6,164.22 × 2,698.10
  4. Step 4: Simplify right side
    4,466.82x = 16,631,681.98
  5. Step 5: Solve for x
    x = 16,631,681.98/4,466.82
  6. Step 6: Final answer
    x = 3,723.38

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Why These Related Problems?

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