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Finding the Fourth Proportional to 5,155.83, 7,728.39 and 3,920.67

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Solution

The fourth proportional to 5,155.83, 7,728.39 and 3,920.67 is: 5,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.83 : 7,728.39 = 3,920.67 : x
  2. Step 2: Convert to fraction form
    5,155.83/7,728.39 = 3,920.67/x
  3. Step 3: Cross multiply
    5,155.83x = 7,728.39 × 3,920.67
  4. Step 4: Simplify right side
    5,155.83x = 30,300,466.82
  5. Step 5: Solve for x
    x = 30,300,466.82/5,155.83
  6. Step 6: Final answer
    x = 5,876.93

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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.