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Finding the Fourth Proportional to 5,454.60, 8,177.04 and 2,166

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Solution

The fourth proportional to 5,454.60, 8,177.04 and 2,166 is: 3,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.60 : 8,177.04 = 2,166 : x
  2. Step 2: Convert to fraction form
    5,454.60/8,177.04 = 2,166/x
  3. Step 3: Cross multiply
    5,454.60x = 8,177.04 × 2,166
  4. Step 4: Simplify right side
    5,454.60x = 17,711,468.64
  5. Step 5: Solve for x
    x = 17,711,468.64/5,454.60
  6. Step 6: Final answer
    x = 3,247.07

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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.