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Finding the Fourth Proportional to 5,693.26, 7,855.69 and 3,175.17

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Solution

The fourth proportional to 5,693.26, 7,855.69 and 3,175.17 is: 4,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.26 : 7,855.69 = 3,175.17 : x
  2. Step 2: Convert to fraction form
    5,693.26/7,855.69 = 3,175.17/x
  3. Step 3: Cross multiply
    5,693.26x = 7,855.69 × 3,175.17
  4. Step 4: Simplify right side
    5,693.26x = 24,943,151.22
  5. Step 5: Solve for x
    x = 24,943,151.22/5,693.26
  6. Step 6: Final answer
    x = 4,381.17

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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.