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Finding the Fourth Proportional to 3,897.34, 5,847.45 and 1,433.77

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Solution

The fourth proportional to 3,897.34, 5,847.45 and 1,433.77 is: 2,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.34 : 5,847.45 = 1,433.77 : x
  2. Step 2: Convert to fraction form
    3,897.34/5,847.45 = 1,433.77/x
  3. Step 3: Cross multiply
    3,897.34x = 5,847.45 × 1,433.77
  4. Step 4: Simplify right side
    3,897.34x = 8,383,898.39
  5. Step 5: Solve for x
    x = 8,383,898.39/3,897.34
  6. Step 6: Final answer
    x = 2,151.18

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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.