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Finding the Fourth Proportional to 4,801.98, 6,628.59 and 3,754.38

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Solution

The fourth proportional to 4,801.98, 6,628.59 and 3,754.38 is: 5,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.98 : 6,628.59 = 3,754.38 : x
  2. Step 2: Convert to fraction form
    4,801.98/6,628.59 = 3,754.38/x
  3. Step 3: Cross multiply
    4,801.98x = 6,628.59 × 3,754.38
  4. Step 4: Simplify right side
    4,801.98x = 24,886,245.72
  5. Step 5: Solve for x
    x = 24,886,245.72/4,801.98
  6. Step 6: Final answer
    x = 5,182.50

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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.