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Finding the Fourth Proportional to 3,939.54, 5,911.50 and 1,476.06

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Solution

The fourth proportional to 3,939.54, 5,911.50 and 1,476.06 is: 2,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.54 : 5,911.50 = 1,476.06 : x
  2. Step 2: Convert to fraction form
    3,939.54/5,911.50 = 1,476.06/x
  3. Step 3: Cross multiply
    3,939.54x = 5,911.50 × 1,476.06
  4. Step 4: Simplify right side
    3,939.54x = 8,725,728.69
  5. Step 5: Solve for x
    x = 8,725,728.69/3,939.54
  6. Step 6: Final answer
    x = 2,214.91

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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.