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Finding the Fourth Proportional to 4,201.00, 5,802.03 and 3,268.08

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Solution

The fourth proportional to 4,201.00, 5,802.03 and 3,268.08 is: 4,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.00 : 5,802.03 = 3,268.08 : x
  2. Step 2: Convert to fraction form
    4,201.00/5,802.03 = 3,268.08/x
  3. Step 3: Cross multiply
    4,201.00x = 5,802.03 × 3,268.08
  4. Step 4: Simplify right side
    4,201.00x = 18,961,498.20
  5. Step 5: Solve for x
    x = 18,961,498.20/4,201.00
  6. Step 6: Final answer
    x = 4,513.57

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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.