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Finding the Fourth Proportional to 4,467.41, 6,165.05 and 2,477.84

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Solution

The fourth proportional to 4,467.41, 6,165.05 and 2,477.84 is: 3,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.41 : 6,165.05 = 2,477.84 : x
  2. Step 2: Convert to fraction form
    4,467.41/6,165.05 = 2,477.84/x
  3. Step 3: Cross multiply
    4,467.41x = 6,165.05 × 2,477.84
  4. Step 4: Simplify right side
    4,467.41x = 15,275,964.28
  5. Step 5: Solve for x
    x = 15,275,964.28/4,467.41
  6. Step 6: Final answer
    x = 3,419.43

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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.