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Finding the Fourth Proportional to 5,674.17, 8,511.24 and 1,778.58

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Solution

The fourth proportional to 5,674.17, 8,511.24 and 1,778.58 is: 2,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.17 : 8,511.24 = 1,778.58 : x
  2. Step 2: Convert to fraction form
    5,674.17/8,511.24 = 1,778.58/x
  3. Step 3: Cross multiply
    5,674.17x = 8,511.24 × 1,778.58
  4. Step 4: Simplify right side
    5,674.17x = 15,137,921.24
  5. Step 5: Solve for x
    x = 15,137,921.24/5,674.17
  6. Step 6: Final answer
    x = 2,667.87

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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.