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Finding the Fourth Proportional to 3,961.93, 5,466.54 and 2,369.10

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Solution

The fourth proportional to 3,961.93, 5,466.54 and 2,369.10 is: 3,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.93 : 5,466.54 = 2,369.10 : x
  2. Step 2: Convert to fraction form
    3,961.93/5,466.54 = 2,369.10/x
  3. Step 3: Cross multiply
    3,961.93x = 5,466.54 × 2,369.10
  4. Step 4: Simplify right side
    3,961.93x = 12,950,752.58
  5. Step 5: Solve for x
    x = 12,950,752.58/3,961.93
  6. Step 6: Final answer
    x = 3,268.80

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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.