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Finding the Fourth Proportional to 5,665.56, 8,497.64 and 2,894.22

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Solution

The fourth proportional to 5,665.56, 8,497.64 and 2,894.22 is: 4,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.56 : 8,497.64 = 2,894.22 : x
  2. Step 2: Convert to fraction form
    5,665.56/8,497.64 = 2,894.22/x
  3. Step 3: Cross multiply
    5,665.56x = 8,497.64 × 2,894.22
  4. Step 4: Simplify right side
    5,665.56x = 24,594,039.64
  5. Step 5: Solve for x
    x = 24,594,039.64/5,665.56
  6. Step 6: Final answer
    x = 4,340.97

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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.