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Finding the Fourth Proportional to 4,003.74, 6,004.89 and 1,538.10

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Solution

The fourth proportional to 4,003.74, 6,004.89 and 1,538.10 is: 2,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.74 : 6,004.89 = 1,538.10 : x
  2. Step 2: Convert to fraction form
    4,003.74/6,004.89 = 1,538.10/x
  3. Step 3: Cross multiply
    4,003.74x = 6,004.89 × 1,538.10
  4. Step 4: Simplify right side
    4,003.74x = 9,236,121.31
  5. Step 5: Solve for x
    x = 9,236,121.31/4,003.74
  6. Step 6: Final answer
    x = 2,306.87

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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.