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Finding the Fourth Proportional to 5,449.24, 8,178.99 and 2,854

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Solution

The fourth proportional to 5,449.24, 8,178.99 and 2,854 is: 4,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.24 : 8,178.99 = 2,854 : x
  2. Step 2: Convert to fraction form
    5,449.24/8,178.99 = 2,854/x
  3. Step 3: Cross multiply
    5,449.24x = 8,178.99 × 2,854
  4. Step 4: Simplify right side
    5,449.24x = 23,342,837.46
  5. Step 5: Solve for x
    x = 23,342,837.46/5,449.24
  6. Step 6: Final answer
    x = 4,283.69

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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.