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Finding the Fourth Proportional to 5,797, 8,696.98 and 1,693

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Solution

The fourth proportional to 5,797, 8,696.98 and 1,693 is: 2,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797 : 8,696.98 = 1,693 : x
  2. Step 2: Convert to fraction form
    5,797/8,696.98 = 1,693/x
  3. Step 3: Cross multiply
    5,797x = 8,696.98 × 1,693
  4. Step 4: Simplify right side
    5,797x = 14,723,987.14
  5. Step 5: Solve for x
    x = 14,723,987.14/5,797
  6. Step 6: Final answer
    x = 2,539.93

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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.