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Finding the Fourth Proportional to 4,829.36, 6,657.97 and 4,128.73

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Solution

The fourth proportional to 4,829.36, 6,657.97 and 4,128.73 is: 5,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.36 : 6,657.97 = 4,128.73 : x
  2. Step 2: Convert to fraction form
    4,829.36/6,657.97 = 4,128.73/x
  3. Step 3: Cross multiply
    4,829.36x = 6,657.97 × 4,128.73
  4. Step 4: Simplify right side
    4,829.36x = 27,488,937.22
  5. Step 5: Solve for x
    x = 27,488,937.22/4,829.36
  6. Step 6: Final answer
    x = 5,692.05

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