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Finding the Fourth Proportional to 5,755.82, 7,944.34 and 4,075.46

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Solution

The fourth proportional to 5,755.82, 7,944.34 and 4,075.46 is: 5,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.82 : 7,944.34 = 4,075.46 : x
  2. Step 2: Convert to fraction form
    5,755.82/7,944.34 = 4,075.46/x
  3. Step 3: Cross multiply
    5,755.82x = 7,944.34 × 4,075.46
  4. Step 4: Simplify right side
    5,755.82x = 32,376,839.90
  5. Step 5: Solve for x
    x = 32,376,839.90/5,755.82
  6. Step 6: Final answer
    x = 5,625.06

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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.