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Finding the Fourth Proportional to 4,572.44, 6,858.12 and 1,799

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Solution

The fourth proportional to 4,572.44, 6,858.12 and 1,799 is: 2,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.44 : 6,858.12 = 1,799 : x
  2. Step 2: Convert to fraction form
    4,572.44/6,858.12 = 1,799/x
  3. Step 3: Cross multiply
    4,572.44x = 6,858.12 × 1,799
  4. Step 4: Simplify right side
    4,572.44x = 12,337,757.88
  5. Step 5: Solve for x
    x = 12,337,757.88/4,572.44
  6. Step 6: Final answer
    x = 2,698.29

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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.