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Finding the Fourth Proportional to 3,504.61, 5,257.50 and 1,749.69

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Solution

The fourth proportional to 3,504.61, 5,257.50 and 1,749.69 is: 2,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.61 : 5,257.50 = 1,749.69 : x
  2. Step 2: Convert to fraction form
    3,504.61/5,257.50 = 1,749.69/x
  3. Step 3: Cross multiply
    3,504.61x = 5,257.50 × 1,749.69
  4. Step 4: Simplify right side
    3,504.61x = 9,198,995.18
  5. Step 5: Solve for x
    x = 9,198,995.18/3,504.61
  6. Step 6: Final answer
    x = 2,624.83

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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.