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Finding the Fourth Proportional to 4,299.90, 5,936.32 and 3,289.74

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Solution

The fourth proportional to 4,299.90, 5,936.32 and 3,289.74 is: 4,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.90 : 5,936.32 = 3,289.74 : x
  2. Step 2: Convert to fraction form
    4,299.90/5,936.32 = 3,289.74/x
  3. Step 3: Cross multiply
    4,299.90x = 5,936.32 × 3,289.74
  4. Step 4: Simplify right side
    4,299.90x = 19,528,949.36
  5. Step 5: Solve for x
    x = 19,528,949.36/4,299.90
  6. Step 6: Final answer
    x = 4,541.72

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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.