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Finding the Fourth Proportional to 5,763.63, 8,645.43 and 3,296.70

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Solution

The fourth proportional to 5,763.63, 8,645.43 and 3,296.70 is: 4,945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.63 : 8,645.43 = 3,296.70 : x
  2. Step 2: Convert to fraction form
    5,763.63/8,645.43 = 3,296.70/x
  3. Step 3: Cross multiply
    5,763.63x = 8,645.43 × 3,296.70
  4. Step 4: Simplify right side
    5,763.63x = 28,501,389.08
  5. Step 5: Solve for x
    x = 28,501,389.08/5,763.63
  6. Step 6: Final answer
    x = 4,945.04

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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.