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Finding the Fourth Proportional to 4,826.52, 6,661 and 3,059.48

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Solution

The fourth proportional to 4,826.52, 6,661 and 3,059.48 is: 4,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.52 : 6,661 = 3,059.48 : x
  2. Step 2: Convert to fraction form
    4,826.52/6,661 = 3,059.48/x
  3. Step 3: Cross multiply
    4,826.52x = 6,661 × 3,059.48
  4. Step 4: Simplify right side
    4,826.52x = 20,379,196.28
  5. Step 5: Solve for x
    x = 20,379,196.28/4,826.52
  6. Step 6: Final answer
    x = 4,222.34

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Why These Related Problems?

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