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Finding the Fourth Proportional to 5,855.40, 8,780.96 and 1,694.02

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Solution

The fourth proportional to 5,855.40, 8,780.96 and 1,694.02 is: 2,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.40 : 8,780.96 = 1,694.02 : x
  2. Step 2: Convert to fraction form
    5,855.40/8,780.96 = 1,694.02/x
  3. Step 3: Cross multiply
    5,855.40x = 8,780.96 × 1,694.02
  4. Step 4: Simplify right side
    5,855.40x = 14,875,121.86
  5. Step 5: Solve for x
    x = 14,875,121.86/5,855.40
  6. Step 6: Final answer
    x = 2,540.41

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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.