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Finding the Fourth Proportional to 6,602.82, 9,112.42 and 5,420.58

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Solution

The fourth proportional to 6,602.82, 9,112.42 and 5,420.58 is: 7,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.82 : 9,112.42 = 5,420.58 : x
  2. Step 2: Convert to fraction form
    6,602.82/9,112.42 = 5,420.58/x
  3. Step 3: Cross multiply
    6,602.82x = 9,112.42 × 5,420.58
  4. Step 4: Simplify right side
    6,602.82x = 49,394,601.60
  5. Step 5: Solve for x
    x = 49,394,601.60/6,602.82
  6. Step 6: Final answer
    x = 7,480.83

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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.