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Finding the Fourth Proportional to 3,896.93, 5,847.72 and 1,432.00

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Solution

The fourth proportional to 3,896.93, 5,847.72 and 1,432.00 is: 2,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.93 : 5,847.72 = 1,432.00 : x
  2. Step 2: Convert to fraction form
    3,896.93/5,847.72 = 1,432.00/x
  3. Step 3: Cross multiply
    3,896.93x = 5,847.72 × 1,432.00
  4. Step 4: Simplify right side
    3,896.93x = 8,373,923.11
  5. Step 5: Solve for x
    x = 8,373,923.11/3,896.93
  6. Step 6: Final answer
    x = 2,148.85

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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.