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Finding the Fourth Proportional to 5,977.36, 8,241.36 and 3,849.28

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Solution

The fourth proportional to 5,977.36, 8,241.36 and 3,849.28 is: 5,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.36 : 8,241.36 = 3,849.28 : x
  2. Step 2: Convert to fraction form
    5,977.36/8,241.36 = 3,849.28/x
  3. Step 3: Cross multiply
    5,977.36x = 8,241.36 × 3,849.28
  4. Step 4: Simplify right side
    5,977.36x = 31,723,302.22
  5. Step 5: Solve for x
    x = 31,723,302.22/5,977.36
  6. Step 6: Final answer
    x = 5,307.24

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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.