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Finding the Fourth Proportional to 5,660.84, 7,812.60 and 3,422.90

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Solution

The fourth proportional to 5,660.84, 7,812.60 and 3,422.90 is: 4,723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.84 : 7,812.60 = 3,422.90 : x
  2. Step 2: Convert to fraction form
    5,660.84/7,812.60 = 3,422.90/x
  3. Step 3: Cross multiply
    5,660.84x = 7,812.60 × 3,422.90
  4. Step 4: Simplify right side
    5,660.84x = 26,741,748.54
  5. Step 5: Solve for x
    x = 26,741,748.54/5,660.84
  6. Step 6: Final answer
    x = 4,723.99

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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.