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Finding the Fourth Proportional to 5,943.56, 8,203.02 and 3,705.80

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Solution

The fourth proportional to 5,943.56, 8,203.02 and 3,705.80 is: 5,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.56 : 8,203.02 = 3,705.80 : x
  2. Step 2: Convert to fraction form
    5,943.56/8,203.02 = 3,705.80/x
  3. Step 3: Cross multiply
    5,943.56x = 8,203.02 × 3,705.80
  4. Step 4: Simplify right side
    5,943.56x = 30,398,751.52
  5. Step 5: Solve for x
    x = 30,398,751.52/5,943.56
  6. Step 6: Final answer
    x = 5,114.57

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1.5x scale

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.