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Finding the Fourth Proportional to 5,665.54, 8,468.57 and 4,919.26

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Solution

The fourth proportional to 5,665.54, 8,468.57 and 4,919.26 is: 7,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.54 : 8,468.57 = 4,919.26 : x
  2. Step 2: Convert to fraction form
    5,665.54/8,468.57 = 4,919.26/x
  3. Step 3: Cross multiply
    5,665.54x = 8,468.57 × 4,919.26
  4. Step 4: Simplify right side
    5,665.54x = 41,659,097.66
  5. Step 5: Solve for x
    x = 41,659,097.66/5,665.54
  6. Step 6: Final answer
    x = 7,353.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.