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Finding the Fourth Proportional to 5,837.74, 8,055.82 and 3,185.12

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Solution

The fourth proportional to 5,837.74, 8,055.82 and 3,185.12 is: 4,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.74 : 8,055.82 = 3,185.12 : x
  2. Step 2: Convert to fraction form
    5,837.74/8,055.82 = 3,185.12/x
  3. Step 3: Cross multiply
    5,837.74x = 8,055.82 × 3,185.12
  4. Step 4: Simplify right side
    5,837.74x = 25,658,753.40
  5. Step 5: Solve for x
    x = 25,658,753.40/5,837.74
  6. Step 6: Final answer
    x = 4,395.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.