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Finding the Fourth Proportional to 5,969.16, 8,233.36 and 3,485.16

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Solution

The fourth proportional to 5,969.16, 8,233.36 and 3,485.16 is: 4,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.16 : 8,233.36 = 3,485.16 : x
  2. Step 2: Convert to fraction form
    5,969.16/8,233.36 = 3,485.16/x
  3. Step 3: Cross multiply
    5,969.16x = 8,233.36 × 3,485.16
  4. Step 4: Simplify right side
    5,969.16x = 28,694,576.94
  5. Step 5: Solve for x
    x = 28,694,576.94/5,969.16
  6. Step 6: Final answer
    x = 4,807.14

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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.