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Finding the Fourth Proportional to 6,446.52, 8,897.40 and 3,793.80

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Solution

The fourth proportional to 6,446.52, 8,897.40 and 3,793.80 is: 5,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.52 : 8,897.40 = 3,793.80 : x
  2. Step 2: Convert to fraction form
    6,446.52/8,897.40 = 3,793.80/x
  3. Step 3: Cross multiply
    6,446.52x = 8,897.40 × 3,793.80
  4. Step 4: Simplify right side
    6,446.52x = 33,754,956.12
  5. Step 5: Solve for x
    x = 33,754,956.12/6,446.52
  6. Step 6: Final answer
    x = 5,236.15

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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.