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Finding the Fourth Proportional to 6,090.12, 8,399.71 and 4,204.86

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Solution

The fourth proportional to 6,090.12, 8,399.71 and 4,204.86 is: 5,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.12 : 8,399.71 = 4,204.86 : x
  2. Step 2: Convert to fraction form
    6,090.12/8,399.71 = 4,204.86/x
  3. Step 3: Cross multiply
    6,090.12x = 8,399.71 × 4,204.86
  4. Step 4: Simplify right side
    6,090.12x = 35,319,601.98
  5. Step 5: Solve for x
    x = 35,319,601.98/6,090.12
  6. Step 6: Final answer
    x = 5,799.49

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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.