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Finding the Fourth Proportional to 5,910.14, 8,821.95 and 5,209.54

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Solution

The fourth proportional to 5,910.14, 8,821.95 and 5,209.54 is: 7,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910.14 : 8,821.95 = 5,209.54 : x
  2. Step 2: Convert to fraction form
    5,910.14/8,821.95 = 5,209.54/x
  3. Step 3: Cross multiply
    5,910.14x = 8,821.95 × 5,209.54
  4. Step 4: Simplify right side
    5,910.14x = 45,958,279.35
  5. Step 5: Solve for x
    x = 45,958,279.35/5,910.14
  6. Step 6: Final answer
    x = 7,776.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.