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Finding the Fourth Proportional to 3,760.50, 5,189.49 and 2,104.50

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Solution

The fourth proportional to 3,760.50, 5,189.49 and 2,104.50 is: 2,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.50 : 5,189.49 = 2,104.50 : x
  2. Step 2: Convert to fraction form
    3,760.50/5,189.49 = 2,104.50/x
  3. Step 3: Cross multiply
    3,760.50x = 5,189.49 × 2,104.50
  4. Step 4: Simplify right side
    3,760.50x = 10,921,281.71
  5. Step 5: Solve for x
    x = 10,921,281.71/3,760.50
  6. Step 6: Final answer
    x = 2,904.21

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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.