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Finding the Fourth Proportional to 5,731.05, 8,591.20 and 4,323.31

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Solution

The fourth proportional to 5,731.05, 8,591.20 and 4,323.31 is: 6,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.05 : 8,591.20 = 4,323.31 : x
  2. Step 2: Convert to fraction form
    5,731.05/8,591.20 = 4,323.31/x
  3. Step 3: Cross multiply
    5,731.05x = 8,591.20 × 4,323.31
  4. Step 4: Simplify right side
    5,731.05x = 37,142,388.59
  5. Step 5: Solve for x
    x = 37,142,388.59/5,731.05
  6. Step 6: Final answer
    x = 6,480.90

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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.