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Finding the Fourth Proportional to 4,241.36, 5,850.12 and 4,098.64

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Solution

The fourth proportional to 4,241.36, 5,850.12 and 4,098.64 is: 5,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.36 : 5,850.12 = 4,098.64 : x
  2. Step 2: Convert to fraction form
    4,241.36/5,850.12 = 4,098.64/x
  3. Step 3: Cross multiply
    4,241.36x = 5,850.12 × 4,098.64
  4. Step 4: Simplify right side
    4,241.36x = 23,977,535.84
  5. Step 5: Solve for x
    x = 23,977,535.84/4,241.36
  6. Step 6: Final answer
    x = 5,653.27

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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.