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Finding the Fourth Proportional to 5,976.81, 8,966.36 and 2,857.06

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Solution

The fourth proportional to 5,976.81, 8,966.36 and 2,857.06 is: 4,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.81 : 8,966.36 = 2,857.06 : x
  2. Step 2: Convert to fraction form
    5,976.81/8,966.36 = 2,857.06/x
  3. Step 3: Cross multiply
    5,976.81x = 8,966.36 × 2,857.06
  4. Step 4: Simplify right side
    5,976.81x = 25,617,428.50
  5. Step 5: Solve for x
    x = 25,617,428.50/5,976.81
  6. Step 6: Final answer
    x = 4,286.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.