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Finding the Fourth Proportional to 5,233.63, 7,849.77 and 4,361.58

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Solution

The fourth proportional to 5,233.63, 7,849.77 and 4,361.58 is: 6,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.63 : 7,849.77 = 4,361.58 : x
  2. Step 2: Convert to fraction form
    5,233.63/7,849.77 = 4,361.58/x
  3. Step 3: Cross multiply
    5,233.63x = 7,849.77 × 4,361.58
  4. Step 4: Simplify right side
    5,233.63x = 34,237,399.84
  5. Step 5: Solve for x
    x = 34,237,399.84/5,233.63
  6. Step 6: Final answer
    x = 6,541.81

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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.