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Finding the Fourth Proportional to 5,134.37, 7,702.76 and 2,668.62

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Solution

The fourth proportional to 5,134.37, 7,702.76 and 2,668.62 is: 4,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.37 : 7,702.76 = 2,668.62 : x
  2. Step 2: Convert to fraction form
    5,134.37/7,702.76 = 2,668.62/x
  3. Step 3: Cross multiply
    5,134.37x = 7,702.76 × 2,668.62
  4. Step 4: Simplify right side
    5,134.37x = 20,555,774.95
  5. Step 5: Solve for x
    x = 20,555,774.95/5,134.37
  6. Step 6: Final answer
    x = 4,003.57

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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.