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Finding the Fourth Proportional to 5,104.66, 7,647.16 and 3,791.52

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Solution

The fourth proportional to 5,104.66, 7,647.16 and 3,791.52 is: 5,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.66 : 7,647.16 = 3,791.52 : x
  2. Step 2: Convert to fraction form
    5,104.66/7,647.16 = 3,791.52/x
  3. Step 3: Cross multiply
    5,104.66x = 7,647.16 × 3,791.52
  4. Step 4: Simplify right side
    5,104.66x = 28,994,360.08
  5. Step 5: Solve for x
    x = 28,994,360.08/5,104.66
  6. Step 6: Final answer
    x = 5,679.98

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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.