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Finding the Fourth Proportional to 4,983.76, 7,476.27 and 2,064.12

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Solution

The fourth proportional to 4,983.76, 7,476.27 and 2,064.12 is: 3,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.76 : 7,476.27 = 2,064.12 : x
  2. Step 2: Convert to fraction form
    4,983.76/7,476.27 = 2,064.12/x
  3. Step 3: Cross multiply
    4,983.76x = 7,476.27 × 2,064.12
  4. Step 4: Simplify right side
    4,983.76x = 15,431,918.43
  5. Step 5: Solve for x
    x = 15,431,918.43/4,983.76
  6. Step 6: Final answer
    x = 3,096.44

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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.