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Finding the Fourth Proportional to 6,090.09, 8,402.87 and 4,201.07

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Solution

The fourth proportional to 6,090.09, 8,402.87 and 4,201.07 is: 5,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.09 : 8,402.87 = 4,201.07 : x
  2. Step 2: Convert to fraction form
    6,090.09/8,402.87 = 4,201.07/x
  3. Step 3: Cross multiply
    6,090.09x = 8,402.87 × 4,201.07
  4. Step 4: Simplify right side
    6,090.09x = 35,301,013.56
  5. Step 5: Solve for x
    x = 35,301,013.56/6,090.09
  6. Step 6: Final answer
    x = 5,796.47

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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.