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Finding the Fourth Proportional to 6,190.80, 8,537.74 and 4,828.38

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Solution

The fourth proportional to 6,190.80, 8,537.74 and 4,828.38 is: 6,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.80 : 8,537.74 = 4,828.38 : x
  2. Step 2: Convert to fraction form
    6,190.80/8,537.74 = 4,828.38/x
  3. Step 3: Cross multiply
    6,190.80x = 8,537.74 × 4,828.38
  4. Step 4: Simplify right side
    6,190.80x = 41,223,453.06
  5. Step 5: Solve for x
    x = 41,223,453.06/6,190.80
  6. Step 6: Final answer
    x = 6,658.82

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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.