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Finding the Fourth Proportional to 5,237.93, 7,844.11 and 5,049.34

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Solution

The fourth proportional to 5,237.93, 7,844.11 and 5,049.34 is: 7,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.93 : 7,844.11 = 5,049.34 : x
  2. Step 2: Convert to fraction form
    5,237.93/7,844.11 = 5,049.34/x
  3. Step 3: Cross multiply
    5,237.93x = 7,844.11 × 5,049.34
  4. Step 4: Simplify right side
    5,237.93x = 39,607,546.15
  5. Step 5: Solve for x
    x = 39,607,546.15/5,237.93
  6. Step 6: Final answer
    x = 7,561.68

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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.