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Finding the Fourth Proportional to 5,965.52, 8,946.92 and 2,268.16

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Solution

The fourth proportional to 5,965.52, 8,946.92 and 2,268.16 is: 3,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.52 : 8,946.92 = 2,268.16 : x
  2. Step 2: Convert to fraction form
    5,965.52/8,946.92 = 2,268.16/x
  3. Step 3: Cross multiply
    5,965.52x = 8,946.92 × 2,268.16
  4. Step 4: Simplify right side
    5,965.52x = 20,293,046.07
  5. Step 5: Solve for x
    x = 20,293,046.07/5,965.52
  6. Step 6: Final answer
    x = 3,401.72

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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.