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Finding the Fourth Proportional to 5,106.02, 7,662 and 2,766.02

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Solution

The fourth proportional to 5,106.02, 7,662 and 2,766.02 is: 4,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.02 : 7,662 = 2,766.02 : x
  2. Step 2: Convert to fraction form
    5,106.02/7,662 = 2,766.02/x
  3. Step 3: Cross multiply
    5,106.02x = 7,662 × 2,766.02
  4. Step 4: Simplify right side
    5,106.02x = 21,193,245.24
  5. Step 5: Solve for x
    x = 21,193,245.24/5,106.02
  6. Step 6: Final answer
    x = 4,150.64

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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.