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Finding the Fourth Proportional to 5,664.08, 7,817.20 and 3,180.56

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Solution

The fourth proportional to 5,664.08, 7,817.20 and 3,180.56 is: 4,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.08 : 7,817.20 = 3,180.56 : x
  2. Step 2: Convert to fraction form
    5,664.08/7,817.20 = 3,180.56/x
  3. Step 3: Cross multiply
    5,664.08x = 7,817.20 × 3,180.56
  4. Step 4: Simplify right side
    5,664.08x = 24,863,073.63
  5. Step 5: Solve for x
    x = 24,863,073.63/5,664.08
  6. Step 6: Final answer
    x = 4,389.60

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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.