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Finding the Fourth Proportional to 4,003.99, 6,004.44 and 1,538.14

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Solution

The fourth proportional to 4,003.99, 6,004.44 and 1,538.14 is: 2,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.99 : 6,004.44 = 1,538.14 : x
  2. Step 2: Convert to fraction form
    4,003.99/6,004.44 = 1,538.14/x
  3. Step 3: Cross multiply
    4,003.99x = 6,004.44 × 1,538.14
  4. Step 4: Simplify right side
    4,003.99x = 9,235,669.34
  5. Step 5: Solve for x
    x = 9,235,669.34/4,003.99
  6. Step 6: Final answer
    x = 2,306.62

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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.