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Finding the Fourth Proportional to 5,943.02, 8,238.89 and 5,627

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Solution

The fourth proportional to 5,943.02, 8,238.89 and 5,627 is: 7,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.02 : 8,238.89 = 5,627 : x
  2. Step 2: Convert to fraction form
    5,943.02/8,238.89 = 5,627/x
  3. Step 3: Cross multiply
    5,943.02x = 8,238.89 × 5,627
  4. Step 4: Simplify right side
    5,943.02x = 46,360,234.03
  5. Step 5: Solve for x
    x = 46,360,234.03/5,943.02
  6. Step 6: Final answer
    x = 7,800.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.