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Finding the Fourth Proportional to 5,874.07, 8,106.43 and 3,221.67

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Solution

The fourth proportional to 5,874.07, 8,106.43 and 3,221.67 is: 4,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.07 : 8,106.43 = 3,221.67 : x
  2. Step 2: Convert to fraction form
    5,874.07/8,106.43 = 3,221.67/x
  3. Step 3: Cross multiply
    5,874.07x = 8,106.43 × 3,221.67
  4. Step 4: Simplify right side
    5,874.07x = 26,116,270.72
  5. Step 5: Solve for x
    x = 26,116,270.72/5,874.07
  6. Step 6: Final answer
    x = 4,446.03

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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.