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Finding the Fourth Proportional to 5,793.64, 8,688.16 and 2,045.22

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Solution

The fourth proportional to 5,793.64, 8,688.16 and 2,045.22 is: 3,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.64 : 8,688.16 = 2,045.22 : x
  2. Step 2: Convert to fraction form
    5,793.64/8,688.16 = 2,045.22/x
  3. Step 3: Cross multiply
    5,793.64x = 8,688.16 × 2,045.22
  4. Step 4: Simplify right side
    5,793.64x = 17,769,198.60
  5. Step 5: Solve for x
    x = 17,769,198.60/5,793.64
  6. Step 6: Final answer
    x = 3,067.02

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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.