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Finding the Fourth Proportional to 5,770.40, 7,958.99 and 5,577.44

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Solution

The fourth proportional to 5,770.40, 7,958.99 and 5,577.44 is: 7,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.40 : 7,958.99 = 5,577.44 : x
  2. Step 2: Convert to fraction form
    5,770.40/7,958.99 = 5,577.44/x
  3. Step 3: Cross multiply
    5,770.40x = 7,958.99 × 5,577.44
  4. Step 4: Simplify right side
    5,770.40x = 44,390,721.50
  5. Step 5: Solve for x
    x = 44,390,721.50/5,770.40
  6. Step 6: Final answer
    x = 7,692.84

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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.