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Finding the Fourth Proportional to 5,522.10, 7,620.71 and 3,164.70

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Solution

The fourth proportional to 5,522.10, 7,620.71 and 3,164.70 is: 4,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.10 : 7,620.71 = 3,164.70 : x
  2. Step 2: Convert to fraction form
    5,522.10/7,620.71 = 3,164.70/x
  3. Step 3: Cross multiply
    5,522.10x = 7,620.71 × 3,164.70
  4. Step 4: Simplify right side
    5,522.10x = 24,117,255.37
  5. Step 5: Solve for x
    x = 24,117,255.37/5,522.10
  6. Step 6: Final answer
    x = 4,367.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.