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Finding the Fourth Proportional to 5,748.84, 8,620.74 and 1,799.01

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Solution

The fourth proportional to 5,748.84, 8,620.74 and 1,799.01 is: 2,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.84 : 8,620.74 = 1,799.01 : x
  2. Step 2: Convert to fraction form
    5,748.84/8,620.74 = 1,799.01/x
  3. Step 3: Cross multiply
    5,748.84x = 8,620.74 × 1,799.01
  4. Step 4: Simplify right side
    5,748.84x = 15,508,797.47
  5. Step 5: Solve for x
    x = 15,508,797.47/5,748.84
  6. Step 6: Final answer
    x = 2,697.73

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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.