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Finding the Fourth Proportional to 5,730.60, 8,571.90 and 5,149.80

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Solution

The fourth proportional to 5,730.60, 8,571.90 and 5,149.80 is: 7,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.60 : 8,571.90 = 5,149.80 : x
  2. Step 2: Convert to fraction form
    5,730.60/8,571.90 = 5,149.80/x
  3. Step 3: Cross multiply
    5,730.60x = 8,571.90 × 5,149.80
  4. Step 4: Simplify right side
    5,730.60x = 44,143,570.62
  5. Step 5: Solve for x
    x = 44,143,570.62/5,730.60
  6. Step 6: Final answer
    x = 7,703.13

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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.