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Finding the Fourth Proportional to 5,965.32, 8,946.74 and 2,266.25

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Solution

The fourth proportional to 5,965.32, 8,946.74 and 2,266.25 is: 3,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.32 : 8,946.74 = 2,266.25 : x
  2. Step 2: Convert to fraction form
    5,965.32/8,946.74 = 2,266.25/x
  3. Step 3: Cross multiply
    5,965.32x = 8,946.74 × 2,266.25
  4. Step 4: Simplify right side
    5,965.32x = 20,275,577.56
  5. Step 5: Solve for x
    x = 20,275,577.56/5,965.32
  6. Step 6: Final answer
    x = 3,398.91

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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.