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Finding the Fourth Proportional to 5,829.37, 8,743.17 and 1,880.11

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Solution

The fourth proportional to 5,829.37, 8,743.17 and 1,880.11 is: 2,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.37 : 8,743.17 = 1,880.11 : x
  2. Step 2: Convert to fraction form
    5,829.37/8,743.17 = 1,880.11/x
  3. Step 3: Cross multiply
    5,829.37x = 8,743.17 × 1,880.11
  4. Step 4: Simplify right side
    5,829.37x = 16,438,121.35
  5. Step 5: Solve for x
    x = 16,438,121.35/5,829.37
  6. Step 6: Final answer
    x = 2,819.88

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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.