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Finding the Fourth Proportional to 5,522.16, 7,620.72 and 3,164.64

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Solution

The fourth proportional to 5,522.16, 7,620.72 and 3,164.64 is: 4,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.16 : 7,620.72 = 3,164.64 : x
  2. Step 2: Convert to fraction form
    5,522.16/7,620.72 = 3,164.64/x
  3. Step 3: Cross multiply
    5,522.16x = 7,620.72 × 3,164.64
  4. Step 4: Simplify right side
    5,522.16x = 24,116,835.34
  5. Step 5: Solve for x
    x = 24,116,835.34/5,522.16
  6. Step 6: Final answer
    x = 4,367.28

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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.