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Finding the Fourth Proportional to 5,003, 6,904.18 and 2,795

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Solution

The fourth proportional to 5,003, 6,904.18 and 2,795 is: 3,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003 : 6,904.18 = 2,795 : x
  2. Step 2: Convert to fraction form
    5,003/6,904.18 = 2,795/x
  3. Step 3: Cross multiply
    5,003x = 6,904.18 × 2,795
  4. Step 4: Simplify right side
    5,003x = 19,297,183.10
  5. Step 5: Solve for x
    x = 19,297,183.10/5,003
  6. Step 6: Final answer
    x = 3,857.12

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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.