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Finding the Fourth Proportional to 3,462.78, 4,771.77 and 2,466.30

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Solution

The fourth proportional to 3,462.78, 4,771.77 and 2,466.30 is: 3,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.78 : 4,771.77 = 2,466.30 : x
  2. Step 2: Convert to fraction form
    3,462.78/4,771.77 = 2,466.30/x
  3. Step 3: Cross multiply
    3,462.78x = 4,771.77 × 2,466.30
  4. Step 4: Simplify right side
    3,462.78x = 11,768,616.35
  5. Step 5: Solve for x
    x = 11,768,616.35/3,462.78
  6. Step 6: Final answer
    x = 3,398.60

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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.