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Finding the Fourth Proportional to 5,237.86, 7,841.94 and 4,745.16

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Solution

The fourth proportional to 5,237.86, 7,841.94 and 4,745.16 is: 7,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.86 : 7,841.94 = 4,745.16 : x
  2. Step 2: Convert to fraction form
    5,237.86/7,841.94 = 4,745.16/x
  3. Step 3: Cross multiply
    5,237.86x = 7,841.94 × 4,745.16
  4. Step 4: Simplify right side
    5,237.86x = 37,211,260.01
  5. Step 5: Solve for x
    x = 37,211,260.01/5,237.86
  6. Step 6: Final answer
    x = 7,104.29

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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.