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Finding the Fourth Proportional to 4,816.56, 6,640.36 and 3,974.16

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Solution

The fourth proportional to 4,816.56, 6,640.36 and 3,974.16 is: 5,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.56 : 6,640.36 = 3,974.16 : x
  2. Step 2: Convert to fraction form
    4,816.56/6,640.36 = 3,974.16/x
  3. Step 3: Cross multiply
    4,816.56x = 6,640.36 × 3,974.16
  4. Step 4: Simplify right side
    4,816.56x = 26,389,853.10
  5. Step 5: Solve for x
    x = 26,389,853.10/4,816.56
  6. Step 6: Final answer
    x = 5,478.98

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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.