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Finding the Fourth Proportional to 5,966.56, 8,233.96 and 3,608.16

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Solution

The fourth proportional to 5,966.56, 8,233.96 and 3,608.16 is: 4,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.56 : 8,233.96 = 3,608.16 : x
  2. Step 2: Convert to fraction form
    5,966.56/8,233.96 = 3,608.16/x
  3. Step 3: Cross multiply
    5,966.56x = 8,233.96 × 3,608.16
  4. Step 4: Simplify right side
    5,966.56x = 29,709,445.11
  5. Step 5: Solve for x
    x = 29,709,445.11/5,966.56
  6. Step 6: Final answer
    x = 4,979.33

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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.