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Finding the Fourth Proportional to 5,837.12, 8,055.15 and 3,184.47

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Solution

The fourth proportional to 5,837.12, 8,055.15 and 3,184.47 is: 4,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.12 : 8,055.15 = 3,184.47 : x
  2. Step 2: Convert to fraction form
    5,837.12/8,055.15 = 3,184.47/x
  3. Step 3: Cross multiply
    5,837.12x = 8,055.15 × 3,184.47
  4. Step 4: Simplify right side
    5,837.12x = 25,651,383.52
  5. Step 5: Solve for x
    x = 25,651,383.52/5,837.12
  6. Step 6: Final answer
    x = 4,394.53

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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.