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Finding the Fourth Proportional to 6,005.74, 9,010.01 and 2,057.04

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Solution

The fourth proportional to 6,005.74, 9,010.01 and 2,057.04 is: 3,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.74 : 9,010.01 = 2,057.04 : x
  2. Step 2: Convert to fraction form
    6,005.74/9,010.01 = 2,057.04/x
  3. Step 3: Cross multiply
    6,005.74x = 9,010.01 × 2,057.04
  4. Step 4: Simplify right side
    6,005.74x = 18,533,950.97
  5. Step 5: Solve for x
    x = 18,533,950.97/6,005.74
  6. Step 6: Final answer
    x = 3,086.04

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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.