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Finding the Fourth Proportional to 4,735.34, 6,538.25 and 3,057.73

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Solution

The fourth proportional to 4,735.34, 6,538.25 and 3,057.73 is: 4,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.34 : 6,538.25 = 3,057.73 : x
  2. Step 2: Convert to fraction form
    4,735.34/6,538.25 = 3,057.73/x
  3. Step 3: Cross multiply
    4,735.34x = 6,538.25 × 3,057.73
  4. Step 4: Simplify right side
    4,735.34x = 19,992,203.17
  5. Step 5: Solve for x
    x = 19,992,203.17/4,735.34
  6. Step 6: Final answer
    x = 4,221.92

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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.