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Finding the Fourth Proportional to 5,836.88, 8,054.90 and 3,741.14

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Solution

The fourth proportional to 5,836.88, 8,054.90 and 3,741.14 is: 5,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.88 : 8,054.90 = 3,741.14 : x
  2. Step 2: Convert to fraction form
    5,836.88/8,054.90 = 3,741.14/x
  3. Step 3: Cross multiply
    5,836.88x = 8,054.90 × 3,741.14
  4. Step 4: Simplify right side
    5,836.88x = 30,134,449.61
  5. Step 5: Solve for x
    x = 30,134,449.61/5,836.88
  6. Step 6: Final answer
    x = 5,162.77

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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.