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Finding the Fourth Proportional to 5,812.70, 8,021.56 and 3,422.76

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Solution

The fourth proportional to 5,812.70, 8,021.56 and 3,422.76 is: 4,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.70 : 8,021.56 = 3,422.76 : x
  2. Step 2: Convert to fraction form
    5,812.70/8,021.56 = 3,422.76/x
  3. Step 3: Cross multiply
    5,812.70x = 8,021.56 × 3,422.76
  4. Step 4: Simplify right side
    5,812.70x = 27,455,874.71
  5. Step 5: Solve for x
    x = 27,455,874.71/5,812.70
  6. Step 6: Final answer
    x = 4,723.43

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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.