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Finding the Fourth Proportional to 5,160.75, 7,745.52 and 3,776.86

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Solution

The fourth proportional to 5,160.75, 7,745.52 and 3,776.86 is: 5,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.75 : 7,745.52 = 3,776.86 : x
  2. Step 2: Convert to fraction form
    5,160.75/7,745.52 = 3,776.86/x
  3. Step 3: Cross multiply
    5,160.75x = 7,745.52 × 3,776.86
  4. Step 4: Simplify right side
    5,160.75x = 29,253,768.51
  5. Step 5: Solve for x
    x = 29,253,768.51/5,160.75
  6. Step 6: Final answer
    x = 5,668.52

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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.