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Finding the Fourth Proportional to 5,349.30, 8,024.22 and 1,839.72

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Solution

The fourth proportional to 5,349.30, 8,024.22 and 1,839.72 is: 2,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.30 : 8,024.22 = 1,839.72 : x
  2. Step 2: Convert to fraction form
    5,349.30/8,024.22 = 1,839.72/x
  3. Step 3: Cross multiply
    5,349.30x = 8,024.22 × 1,839.72
  4. Step 4: Simplify right side
    5,349.30x = 14,762,318.02
  5. Step 5: Solve for x
    x = 14,762,318.02/5,349.30
  6. Step 6: Final answer
    x = 2,759.67

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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.