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Finding the Fourth Proportional to 3,897.05, 5,847.08 and 1,433.57

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Solution

The fourth proportional to 3,897.05, 5,847.08 and 1,433.57 is: 2,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.05 : 5,847.08 = 1,433.57 : x
  2. Step 2: Convert to fraction form
    3,897.05/5,847.08 = 1,433.57/x
  3. Step 3: Cross multiply
    3,897.05x = 5,847.08 × 1,433.57
  4. Step 4: Simplify right side
    3,897.05x = 8,382,162.07
  5. Step 5: Solve for x
    x = 8,382,162.07/3,897.05
  6. Step 6: Final answer
    x = 2,150.90

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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.