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Finding the Fourth Proportional to 4,526, 6,770.24 and 4,249.52

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Solution

The fourth proportional to 4,526, 6,770.24 and 4,249.52 is: 6,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526 : 6,770.24 = 4,249.52 : x
  2. Step 2: Convert to fraction form
    4,526/6,770.24 = 4,249.52/x
  3. Step 3: Cross multiply
    4,526x = 6,770.24 × 4,249.52
  4. Step 4: Simplify right side
    4,526x = 28,770,270.28
  5. Step 5: Solve for x
    x = 28,770,270.28/4,526
  6. Step 6: Final answer
    x = 6,356.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.