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Finding the Fourth Proportional to 5,874.77, 8,107.70 and 3,222.69

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Solution

The fourth proportional to 5,874.77, 8,107.70 and 3,222.69 is: 4,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.77 : 8,107.70 = 3,222.69 : x
  2. Step 2: Convert to fraction form
    5,874.77/8,107.70 = 3,222.69/x
  3. Step 3: Cross multiply
    5,874.77x = 8,107.70 × 3,222.69
  4. Step 4: Simplify right side
    5,874.77x = 26,128,587.60
  5. Step 5: Solve for x
    x = 26,128,587.60/5,874.77
  6. Step 6: Final answer
    x = 4,447.60

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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.