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Finding the Fourth Proportional to 5,077.70, 7,616.21 and 1,745.63

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Solution

The fourth proportional to 5,077.70, 7,616.21 and 1,745.63 is: 2,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.70 : 7,616.21 = 1,745.63 : x
  2. Step 2: Convert to fraction form
    5,077.70/7,616.21 = 1,745.63/x
  3. Step 3: Cross multiply
    5,077.70x = 7,616.21 × 1,745.63
  4. Step 4: Simplify right side
    5,077.70x = 13,295,037.85
  5. Step 5: Solve for x
    x = 13,295,037.85/5,077.70
  6. Step 6: Final answer
    x = 2,618.32

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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.