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Finding the Fourth Proportional to 5,797.89, 8,698.59 and 2,101.86

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Solution

The fourth proportional to 5,797.89, 8,698.59 and 2,101.86 is: 3,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.89 : 8,698.59 = 2,101.86 : x
  2. Step 2: Convert to fraction form
    5,797.89/8,698.59 = 2,101.86/x
  3. Step 3: Cross multiply
    5,797.89x = 8,698.59 × 2,101.86
  4. Step 4: Simplify right side
    5,797.89x = 18,283,218.38
  5. Step 5: Solve for x
    x = 18,283,218.38/5,797.89
  6. Step 6: Final answer
    x = 3,153.43

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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.