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Finding the Fourth Proportional to 5,755.23, 7,945.47 and 4,617.99

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Solution

The fourth proportional to 5,755.23, 7,945.47 and 4,617.99 is: 6,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.23 : 7,945.47 = 4,617.99 : x
  2. Step 2: Convert to fraction form
    5,755.23/7,945.47 = 4,617.99/x
  3. Step 3: Cross multiply
    5,755.23x = 7,945.47 × 4,617.99
  4. Step 4: Simplify right side
    5,755.23x = 36,692,101.01
  5. Step 5: Solve for x
    x = 36,692,101.01/5,755.23
  6. Step 6: Final answer
    x = 6,375.44

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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.