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Finding the Fourth Proportional to 5,976.84, 8,961.38 and 2,857.40

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Solution

The fourth proportional to 5,976.84, 8,961.38 and 2,857.40 is: 4,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.84 : 8,961.38 = 2,857.40 : x
  2. Step 2: Convert to fraction form
    5,976.84/8,961.38 = 2,857.40/x
  3. Step 3: Cross multiply
    5,976.84x = 8,961.38 × 2,857.40
  4. Step 4: Simplify right side
    5,976.84x = 25,606,247.21
  5. Step 5: Solve for x
    x = 25,606,247.21/5,976.84
  6. Step 6: Final answer
    x = 4,284.25

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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.