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Finding the Fourth Proportional to 5,155.16, 7,745.08 and 3,309.88

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Solution

The fourth proportional to 5,155.16, 7,745.08 and 3,309.88 is: 4,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.16 : 7,745.08 = 3,309.88 : x
  2. Step 2: Convert to fraction form
    5,155.16/7,745.08 = 3,309.88/x
  3. Step 3: Cross multiply
    5,155.16x = 7,745.08 × 3,309.88
  4. Step 4: Simplify right side
    5,155.16x = 25,635,285.39
  5. Step 5: Solve for x
    x = 25,635,285.39/5,155.16
  6. Step 6: Final answer
    x = 4,972.74

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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.