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Finding the Fourth Proportional to 4,467.14, 6,164.06 and 2,477.42

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Solution

The fourth proportional to 4,467.14, 6,164.06 and 2,477.42 is: 3,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.14 : 6,164.06 = 2,477.42 : x
  2. Step 2: Convert to fraction form
    4,467.14/6,164.06 = 2,477.42/x
  3. Step 3: Cross multiply
    4,467.14x = 6,164.06 × 2,477.42
  4. Step 4: Simplify right side
    4,467.14x = 15,270,965.53
  5. Step 5: Solve for x
    x = 15,270,965.53/4,467.14
  6. Step 6: Final answer
    x = 3,418.51

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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.