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Finding the Fourth Proportional to 5,577.88, 7,697.82 and 3,093.88

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Solution

The fourth proportional to 5,577.88, 7,697.82 and 3,093.88 is: 4,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.88 : 7,697.82 = 3,093.88 : x
  2. Step 2: Convert to fraction form
    5,577.88/7,697.82 = 3,093.88/x
  3. Step 3: Cross multiply
    5,577.88x = 7,697.82 × 3,093.88
  4. Step 4: Simplify right side
    5,577.88x = 23,816,131.34
  5. Step 5: Solve for x
    x = 23,816,131.34/5,577.88
  6. Step 6: Final answer
    x = 4,269.75

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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.