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Finding the Fourth Proportional to 6,057.89, 9,090.95 and 3,285.47

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Solution

The fourth proportional to 6,057.89, 9,090.95 and 3,285.47 is: 4,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.89 : 9,090.95 = 3,285.47 : x
  2. Step 2: Convert to fraction form
    6,057.89/9,090.95 = 3,285.47/x
  3. Step 3: Cross multiply
    6,057.89x = 9,090.95 × 3,285.47
  4. Step 4: Simplify right side
    6,057.89x = 29,868,027.07
  5. Step 5: Solve for x
    x = 29,868,027.07/6,057.89
  6. Step 6: Final answer
    x = 4,930.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.