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Finding the Fourth Proportional to 5,990.80, 8,259.76 and 5,149.84

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Solution

The fourth proportional to 5,990.80, 8,259.76 and 5,149.84 is: 7,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.80 : 8,259.76 = 5,149.84 : x
  2. Step 2: Convert to fraction form
    5,990.80/8,259.76 = 5,149.84/x
  3. Step 3: Cross multiply
    5,990.80x = 8,259.76 × 5,149.84
  4. Step 4: Simplify right side
    5,990.80x = 42,536,442.44
  5. Step 5: Solve for x
    x = 42,536,442.44/5,990.80
  6. Step 6: Final answer
    x = 7,100.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.