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Finding the Fourth Proportional to 5,770.14, 7,963.84 and 4,525.98

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Solution

The fourth proportional to 5,770.14, 7,963.84 and 4,525.98 is: 6,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.14 : 7,963.84 = 4,525.98 : x
  2. Step 2: Convert to fraction form
    5,770.14/7,963.84 = 4,525.98/x
  3. Step 3: Cross multiply
    5,770.14x = 7,963.84 × 4,525.98
  4. Step 4: Simplify right side
    5,770.14x = 36,044,180.56
  5. Step 5: Solve for x
    x = 36,044,180.56/5,770.14
  6. Step 6: Final answer
    x = 6,246.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.