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Finding the Fourth Proportional to 3,467.34, 4,785.93 and 1,976.06

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Solution

The fourth proportional to 3,467.34, 4,785.93 and 1,976.06 is: 2,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.34 : 4,785.93 = 1,976.06 : x
  2. Step 2: Convert to fraction form
    3,467.34/4,785.93 = 1,976.06/x
  3. Step 3: Cross multiply
    3,467.34x = 4,785.93 × 1,976.06
  4. Step 4: Simplify right side
    3,467.34x = 9,457,296.80
  5. Step 5: Solve for x
    x = 9,457,296.80/3,467.34
  6. Step 6: Final answer
    x = 2,727.54

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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.