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Finding the Fourth Proportional to 5,866.80, 8,800.20 and 5,137.20

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Solution

The fourth proportional to 5,866.80, 8,800.20 and 5,137.20 is: 7,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.80 : 8,800.20 = 5,137.20 : x
  2. Step 2: Convert to fraction form
    5,866.80/8,800.20 = 5,137.20/x
  3. Step 3: Cross multiply
    5,866.80x = 8,800.20 × 5,137.20
  4. Step 4: Simplify right side
    5,866.80x = 45,208,387.44
  5. Step 5: Solve for x
    x = 45,208,387.44/5,866.80
  6. Step 6: Final answer
    x = 7,705.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.