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Finding the Fourth Proportional to 5,756.48, 8,629.45 and 2,794.31

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Solution

The fourth proportional to 5,756.48, 8,629.45 and 2,794.31 is: 4,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.48 : 8,629.45 = 2,794.31 : x
  2. Step 2: Convert to fraction form
    5,756.48/8,629.45 = 2,794.31/x
  3. Step 3: Cross multiply
    5,756.48x = 8,629.45 × 2,794.31
  4. Step 4: Simplify right side
    5,756.48x = 24,113,308.30
  5. Step 5: Solve for x
    x = 24,113,308.30/5,756.48
  6. Step 6: Final answer
    x = 4,188.90

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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.