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Finding the Fourth Proportional to 4,466.99, 6,164.24 and 2,477.52

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Solution

The fourth proportional to 4,466.99, 6,164.24 and 2,477.52 is: 3,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.99 : 6,164.24 = 2,477.52 : x
  2. Step 2: Convert to fraction form
    4,466.99/6,164.24 = 2,477.52/x
  3. Step 3: Cross multiply
    4,466.99x = 6,164.24 × 2,477.52
  4. Step 4: Simplify right side
    4,466.99x = 15,272,027.88
  5. Step 5: Solve for x
    x = 15,272,027.88/4,466.99
  6. Step 6: Final answer
    x = 3,418.86

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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.