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Finding the Fourth Proportional to 3,931.26, 5,900.26 and 2,083.67

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Solution

The fourth proportional to 3,931.26, 5,900.26 and 2,083.67 is: 3,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.26 : 5,900.26 = 2,083.67 : x
  2. Step 2: Convert to fraction form
    3,931.26/5,900.26 = 2,083.67/x
  3. Step 3: Cross multiply
    3,931.26x = 5,900.26 × 2,083.67
  4. Step 4: Simplify right side
    3,931.26x = 12,294,194.75
  5. Step 5: Solve for x
    x = 12,294,194.75/3,931.26
  6. Step 6: Final answer
    x = 3,127.29

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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.