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Finding the Fourth Proportional to 5,452.60, 8,174.04 and 2,164

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Solution

The fourth proportional to 5,452.60, 8,174.04 and 2,164 is: 3,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.60 : 8,174.04 = 2,164 : x
  2. Step 2: Convert to fraction form
    5,452.60/8,174.04 = 2,164/x
  3. Step 3: Cross multiply
    5,452.60x = 8,174.04 × 2,164
  4. Step 4: Simplify right side
    5,452.60x = 17,688,622.56
  5. Step 5: Solve for x
    x = 17,688,622.56/5,452.60
  6. Step 6: Final answer
    x = 3,244.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.