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Finding the Fourth Proportional to 5,664.90, 7,817.91 and 3,180.90

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Solution

The fourth proportional to 5,664.90, 7,817.91 and 3,180.90 is: 4,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.90 : 7,817.91 = 3,180.90 : x
  2. Step 2: Convert to fraction form
    5,664.90/7,817.91 = 3,180.90/x
  3. Step 3: Cross multiply
    5,664.90x = 7,817.91 × 3,180.90
  4. Step 4: Simplify right side
    5,664.90x = 24,867,989.92
  5. Step 5: Solve for x
    x = 24,867,989.92/5,664.90
  6. Step 6: Final answer
    x = 4,389.84

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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.