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Finding the Fourth Proportional to 3,477.16, 5,214.18 and 2,072.24

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Solution

The fourth proportional to 3,477.16, 5,214.18 and 2,072.24 is: 3,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.16 : 5,214.18 = 2,072.24 : x
  2. Step 2: Convert to fraction form
    3,477.16/5,214.18 = 2,072.24/x
  3. Step 3: Cross multiply
    3,477.16x = 5,214.18 × 2,072.24
  4. Step 4: Simplify right side
    3,477.16x = 10,804,995.93
  5. Step 5: Solve for x
    x = 10,804,995.93/3,477.16
  6. Step 6: Final answer
    x = 3,107.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.