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Finding the Fourth Proportional to 4,467.50, 6,164.24 and 2,477.63

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Solution

The fourth proportional to 4,467.50, 6,164.24 and 2,477.63 is: 3,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.50 : 6,164.24 = 2,477.63 : x
  2. Step 2: Convert to fraction form
    4,467.50/6,164.24 = 2,477.63/x
  3. Step 3: Cross multiply
    4,467.50x = 6,164.24 × 2,477.63
  4. Step 4: Simplify right side
    4,467.50x = 15,272,693.56
  5. Step 5: Solve for x
    x = 15,272,693.56/4,467.50
  6. Step 6: Final answer
    x = 3,418.62

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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.