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Finding the Fourth Proportional to 5,965.16, 8,232.78 and 3,575.25

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Solution

The fourth proportional to 5,965.16, 8,232.78 and 3,575.25 is: 4,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.16 : 8,232.78 = 3,575.25 : x
  2. Step 2: Convert to fraction form
    5,965.16/8,232.78 = 3,575.25/x
  3. Step 3: Cross multiply
    5,965.16x = 8,232.78 × 3,575.25
  4. Step 4: Simplify right side
    5,965.16x = 29,434,246.70
  5. Step 5: Solve for x
    x = 29,434,246.70/5,965.16
  6. Step 6: Final answer
    x = 4,934.36

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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.