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Finding the Fourth Proportional to 5,704.13, 7,870.82 and 3,186.14

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Solution

The fourth proportional to 5,704.13, 7,870.82 and 3,186.14 is: 4,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.13 : 7,870.82 = 3,186.14 : x
  2. Step 2: Convert to fraction form
    5,704.13/7,870.82 = 3,186.14/x
  3. Step 3: Cross multiply
    5,704.13x = 7,870.82 × 3,186.14
  4. Step 4: Simplify right side
    5,704.13x = 25,077,479.15
  5. Step 5: Solve for x
    x = 25,077,479.15/5,704.13
  6. Step 6: Final answer
    x = 4,396.38

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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.