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Finding the Fourth Proportional to 5,640.61, 7,783.94 and 3,122.67

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Solution

The fourth proportional to 5,640.61, 7,783.94 and 3,122.67 is: 4,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.61 : 7,783.94 = 3,122.67 : x
  2. Step 2: Convert to fraction form
    5,640.61/7,783.94 = 3,122.67/x
  3. Step 3: Cross multiply
    5,640.61x = 7,783.94 × 3,122.67
  4. Step 4: Simplify right side
    5,640.61x = 24,306,637.00
  5. Step 5: Solve for x
    x = 24,306,637.00/5,640.61
  6. Step 6: Final answer
    x = 4,309.23

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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.