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Finding the Fourth Proportional to 4,284.67, 5,916.20 and 3,288.37

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Solution

The fourth proportional to 4,284.67, 5,916.20 and 3,288.37 is: 4,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.67 : 5,916.20 = 3,288.37 : x
  2. Step 2: Convert to fraction form
    4,284.67/5,916.20 = 3,288.37/x
  3. Step 3: Cross multiply
    4,284.67x = 5,916.20 × 3,288.37
  4. Step 4: Simplify right side
    4,284.67x = 19,454,654.59
  5. Step 5: Solve for x
    x = 19,454,654.59/4,284.67
  6. Step 6: Final answer
    x = 4,540.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.