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Finding the Fourth Proportional to 5,837.64, 8,054.56 and 3,851.42

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Solution

The fourth proportional to 5,837.64, 8,054.56 and 3,851.42 is: 5,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.64 : 8,054.56 = 3,851.42 : x
  2. Step 2: Convert to fraction form
    5,837.64/8,054.56 = 3,851.42/x
  3. Step 3: Cross multiply
    5,837.64x = 8,054.56 × 3,851.42
  4. Step 4: Simplify right side
    5,837.64x = 31,021,493.48
  5. Step 5: Solve for x
    x = 31,021,493.48/5,837.64
  6. Step 6: Final answer
    x = 5,314.05

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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.