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Finding the Fourth Proportional to 5,522.53, 7,620.24 and 3,164.22

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Solution

The fourth proportional to 5,522.53, 7,620.24 and 3,164.22 is: 4,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.53 : 7,620.24 = 3,164.22 : x
  2. Step 2: Convert to fraction form
    5,522.53/7,620.24 = 3,164.22/x
  3. Step 3: Cross multiply
    5,522.53x = 7,620.24 × 3,164.22
  4. Step 4: Simplify right side
    5,522.53x = 24,112,115.81
  5. Step 5: Solve for x
    x = 24,112,115.81/5,522.53
  6. Step 6: Final answer
    x = 4,366.14

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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.