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Finding the Fourth Proportional to 3,665.16, 5,056.92 and 2,172.42

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Solution

The fourth proportional to 3,665.16, 5,056.92 and 2,172.42 is: 2,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.16 : 5,056.92 = 2,172.42 : x
  2. Step 2: Convert to fraction form
    3,665.16/5,056.92 = 2,172.42/x
  3. Step 3: Cross multiply
    3,665.16x = 5,056.92 × 2,172.42
  4. Step 4: Simplify right side
    3,665.16x = 10,985,754.15
  5. Step 5: Solve for x
    x = 10,985,754.15/3,665.16
  6. Step 6: Final answer
    x = 2,997.35

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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.