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Finding the Fourth Proportional to 5,939.64, 8,189.58 and 5,141.88

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Solution

The fourth proportional to 5,939.64, 8,189.58 and 5,141.88 is: 7,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.64 : 8,189.58 = 5,141.88 : x
  2. Step 2: Convert to fraction form
    5,939.64/8,189.58 = 5,141.88/x
  3. Step 3: Cross multiply
    5,939.64x = 8,189.58 × 5,141.88
  4. Step 4: Simplify right side
    5,939.64x = 42,109,837.61
  5. Step 5: Solve for x
    x = 42,109,837.61/5,939.64
  6. Step 6: Final answer
    x = 7,089.63

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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.