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Finding the Fourth Proportional to 3,517.36, 4,852 and 2,321.16

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Solution

The fourth proportional to 3,517.36, 4,852 and 2,321.16 is: 3,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.36 : 4,852 = 2,321.16 : x
  2. Step 2: Convert to fraction form
    3,517.36/4,852 = 2,321.16/x
  3. Step 3: Cross multiply
    3,517.36x = 4,852 × 2,321.16
  4. Step 4: Simplify right side
    3,517.36x = 11,262,268.32
  5. Step 5: Solve for x
    x = 11,262,268.32/3,517.36
  6. Step 6: Final answer
    x = 3,201.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.