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Finding the Fourth Proportional to 5,805.35, 8,709.15 and 2,297.00

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Solution

The fourth proportional to 5,805.35, 8,709.15 and 2,297.00 is: 3,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.35 : 8,709.15 = 2,297.00 : x
  2. Step 2: Convert to fraction form
    5,805.35/8,709.15 = 2,297.00/x
  3. Step 3: Cross multiply
    5,805.35x = 8,709.15 × 2,297.00
  4. Step 4: Simplify right side
    5,805.35x = 20,004,947.94
  5. Step 5: Solve for x
    x = 20,004,947.94/5,805.35
  6. Step 6: Final answer
    x = 3,445.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.