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Finding the Fourth Proportional to 5,820.89, 8,686.62 and 5,198.09

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Solution

The fourth proportional to 5,820.89, 8,686.62 and 5,198.09 is: 7,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.89 : 8,686.62 = 5,198.09 : x
  2. Step 2: Convert to fraction form
    5,820.89/8,686.62 = 5,198.09/x
  3. Step 3: Cross multiply
    5,820.89x = 8,686.62 × 5,198.09
  4. Step 4: Simplify right side
    5,820.89x = 45,153,806.57
  5. Step 5: Solve for x
    x = 45,153,806.57/5,820.89
  6. Step 6: Final answer
    x = 7,757.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.