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Finding the Fourth Proportional to 5,763.16, 7,947.30 and 3,773.80

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Solution

The fourth proportional to 5,763.16, 7,947.30 and 3,773.80 is: 5,204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.16 : 7,947.30 = 3,773.80 : x
  2. Step 2: Convert to fraction form
    5,763.16/7,947.30 = 3,773.80/x
  3. Step 3: Cross multiply
    5,763.16x = 7,947.30 × 3,773.80
  4. Step 4: Simplify right side
    5,763.16x = 29,991,520.74
  5. Step 5: Solve for x
    x = 29,991,520.74/5,763.16
  6. Step 6: Final answer
    x = 5,204.01

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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.