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Finding the Fourth Proportional to 5,808.14, 8,011.34 and 3,894

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Solution

The fourth proportional to 5,808.14, 8,011.34 and 3,894 is: 5,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.14 : 8,011.34 = 3,894 : x
  2. Step 2: Convert to fraction form
    5,808.14/8,011.34 = 3,894/x
  3. Step 3: Cross multiply
    5,808.14x = 8,011.34 × 3,894
  4. Step 4: Simplify right side
    5,808.14x = 31,196,157.96
  5. Step 5: Solve for x
    x = 31,196,157.96/5,808.14
  6. Step 6: Final answer
    x = 5,371.11

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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.