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Finding the Fourth Proportional to 4,665.39, 6,998.09 and 4,380.27

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Solution

The fourth proportional to 4,665.39, 6,998.09 and 4,380.27 is: 6,570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.39 : 6,998.09 = 4,380.27 : x
  2. Step 2: Convert to fraction form
    4,665.39/6,998.09 = 4,380.27/x
  3. Step 3: Cross multiply
    4,665.39x = 6,998.09 × 4,380.27
  4. Step 4: Simplify right side
    4,665.39x = 30,653,501.78
  5. Step 5: Solve for x
    x = 30,653,501.78/4,665.39
  6. Step 6: Final answer
    x = 6,570.41

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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.