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Finding the Fourth Proportional to 5,796.53, 8,689.59 and 2,097.89

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Solution

The fourth proportional to 5,796.53, 8,689.59 and 2,097.89 is: 3,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.53 : 8,689.59 = 2,097.89 : x
  2. Step 2: Convert to fraction form
    5,796.53/8,689.59 = 2,097.89/x
  3. Step 3: Cross multiply
    5,796.53x = 8,689.59 × 2,097.89
  4. Step 4: Simplify right side
    5,796.53x = 18,229,803.97
  5. Step 5: Solve for x
    x = 18,229,803.97/5,796.53
  6. Step 6: Final answer
    x = 3,144.95

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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.