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Finding the Fourth Proportional to 5,833.75, 8,749.81 and 1,674.12

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Solution

The fourth proportional to 5,833.75, 8,749.81 and 1,674.12 is: 2,510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.75 : 8,749.81 = 1,674.12 : x
  2. Step 2: Convert to fraction form
    5,833.75/8,749.81 = 1,674.12/x
  3. Step 3: Cross multiply
    5,833.75x = 8,749.81 × 1,674.12
  4. Step 4: Simplify right side
    5,833.75x = 14,648,183.98
  5. Step 5: Solve for x
    x = 14,648,183.98/5,833.75
  6. Step 6: Final answer
    x = 2,510.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.