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Finding the Fourth Proportional to 5,979.64, 8,971.48 and 3,057.16

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Solution

The fourth proportional to 5,979.64, 8,971.48 and 3,057.16 is: 4,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.64 : 8,971.48 = 3,057.16 : x
  2. Step 2: Convert to fraction form
    5,979.64/8,971.48 = 3,057.16/x
  3. Step 3: Cross multiply
    5,979.64x = 8,971.48 × 3,057.16
  4. Step 4: Simplify right side
    5,979.64x = 27,427,249.80
  5. Step 5: Solve for x
    x = 27,427,249.80/5,979.64
  6. Step 6: Final answer
    x = 4,586.77

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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.