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Finding the Fourth Proportional to 4,941.85, 6,822.24 and 3,820.26

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Solution

The fourth proportional to 4,941.85, 6,822.24 and 3,820.26 is: 5,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.85 : 6,822.24 = 3,820.26 : x
  2. Step 2: Convert to fraction form
    4,941.85/6,822.24 = 3,820.26/x
  3. Step 3: Cross multiply
    4,941.85x = 6,822.24 × 3,820.26
  4. Step 4: Simplify right side
    4,941.85x = 26,062,677.37
  5. Step 5: Solve for x
    x = 26,062,677.37/4,941.85
  6. Step 6: Final answer
    x = 5,273.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.