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Finding the Fourth Proportional to 5,965.04, 8,942.04 and 2,266.16

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Solution

The fourth proportional to 5,965.04, 8,942.04 and 2,266.16 is: 3,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.04 : 8,942.04 = 2,266.16 : x
  2. Step 2: Convert to fraction form
    5,965.04/8,942.04 = 2,266.16/x
  3. Step 3: Cross multiply
    5,965.04x = 8,942.04 × 2,266.16
  4. Step 4: Simplify right side
    5,965.04x = 20,264,093.37
  5. Step 5: Solve for x
    x = 20,264,093.37/5,965.04
  6. Step 6: Final answer
    x = 3,397.14

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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.