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Finding the Fourth Proportional to 5,693.89, 7,857.35 and 3,175.96

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Solution

The fourth proportional to 5,693.89, 7,857.35 and 3,175.96 is: 4,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.89 : 7,857.35 = 3,175.96 : x
  2. Step 2: Convert to fraction form
    5,693.89/7,857.35 = 3,175.96/x
  3. Step 3: Cross multiply
    5,693.89x = 7,857.35 × 3,175.96
  4. Step 4: Simplify right side
    5,693.89x = 24,954,590.02
  5. Step 5: Solve for x
    x = 24,954,590.02/5,693.89
  6. Step 6: Final answer
    x = 4,382.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.