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Finding the Fourth Proportional to 5,440.72, 8,158.60 and 3,798

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Solution

The fourth proportional to 5,440.72, 8,158.60 and 3,798 is: 5,695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.72 : 8,158.60 = 3,798 : x
  2. Step 2: Convert to fraction form
    5,440.72/8,158.60 = 3,798/x
  3. Step 3: Cross multiply
    5,440.72x = 8,158.60 × 3,798
  4. Step 4: Simplify right side
    5,440.72x = 30,986,362.80
  5. Step 5: Solve for x
    x = 30,986,362.80/5,440.72
  6. Step 6: Final answer
    x = 5,695.27

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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.