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Finding the Fourth Proportional to 5,660.93, 7,812.45 and 3,422.90

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Solution

The fourth proportional to 5,660.93, 7,812.45 and 3,422.90 is: 4,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.93 : 7,812.45 = 3,422.90 : x
  2. Step 2: Convert to fraction form
    5,660.93/7,812.45 = 3,422.90/x
  3. Step 3: Cross multiply
    5,660.93x = 7,812.45 × 3,422.90
  4. Step 4: Simplify right side
    5,660.93x = 26,741,196.04
  5. Step 5: Solve for x
    x = 26,741,196.04/5,660.93
  6. Step 6: Final answer
    x = 4,723.82

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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.