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Finding the Fourth Proportional to 4,737.95, 6,538.36 and 2,749.67

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Solution

The fourth proportional to 4,737.95, 6,538.36 and 2,749.67 is: 3,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.95 : 6,538.36 = 2,749.67 : x
  2. Step 2: Convert to fraction form
    4,737.95/6,538.36 = 2,749.67/x
  3. Step 3: Cross multiply
    4,737.95x = 6,538.36 × 2,749.67
  4. Step 4: Simplify right side
    4,737.95x = 17,978,318.59
  5. Step 5: Solve for x
    x = 17,978,318.59/4,737.95
  6. Step 6: Final answer
    x = 3,794.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.