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Finding the Fourth Proportional to 3,466.24, 4,789.50 and 3,023.37

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Solution

The fourth proportional to 3,466.24, 4,789.50 and 3,023.37 is: 4,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.24 : 4,789.50 = 3,023.37 : x
  2. Step 2: Convert to fraction form
    3,466.24/4,789.50 = 3,023.37/x
  3. Step 3: Cross multiply
    3,466.24x = 4,789.50 × 3,023.37
  4. Step 4: Simplify right side
    3,466.24x = 14,480,430.62
  5. Step 5: Solve for x
    x = 14,480,430.62/3,466.24
  6. Step 6: Final answer
    x = 4,177.56

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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.