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Finding the Fourth Proportional to 5,814.90, 8,723.84 and 2,528.60

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Solution

The fourth proportional to 5,814.90, 8,723.84 and 2,528.60 is: 3,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.90 : 8,723.84 = 2,528.60 : x
  2. Step 2: Convert to fraction form
    5,814.90/8,723.84 = 2,528.60/x
  3. Step 3: Cross multiply
    5,814.90x = 8,723.84 × 2,528.60
  4. Step 4: Simplify right side
    5,814.90x = 22,059,045.56
  5. Step 5: Solve for x
    x = 22,059,045.56/5,814.90
  6. Step 6: Final answer
    x = 3,793.54

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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.