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Finding the Fourth Proportional to 5,883.72, 8,828.36 and 3,694.02

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Solution

The fourth proportional to 5,883.72, 8,828.36 and 3,694.02 is: 5,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.72 : 8,828.36 = 3,694.02 : x
  2. Step 2: Convert to fraction form
    5,883.72/8,828.36 = 3,694.02/x
  3. Step 3: Cross multiply
    5,883.72x = 8,828.36 × 3,694.02
  4. Step 4: Simplify right side
    5,883.72x = 32,612,119.94
  5. Step 5: Solve for x
    x = 32,612,119.94/5,883.72
  6. Step 6: Final answer
    x = 5,542.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.