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Finding the Fourth Proportional to 5,755.71, 8,626.50 and 2,980.80

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Solution

The fourth proportional to 5,755.71, 8,626.50 and 2,980.80 is: 4,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.71 : 8,626.50 = 2,980.80 : x
  2. Step 2: Convert to fraction form
    5,755.71/8,626.50 = 2,980.80/x
  3. Step 3: Cross multiply
    5,755.71x = 8,626.50 × 2,980.80
  4. Step 4: Simplify right side
    5,755.71x = 25,713,871.20
  5. Step 5: Solve for x
    x = 25,713,871.20/5,755.71
  6. Step 6: Final answer
    x = 4,467.54

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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.