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Finding the Fourth Proportional to 5,855.62, 8,083.39 and 3,734.00

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Solution

The fourth proportional to 5,855.62, 8,083.39 and 3,734.00 is: 5,154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.62 : 8,083.39 = 3,734.00 : x
  2. Step 2: Convert to fraction form
    5,855.62/8,083.39 = 3,734.00/x
  3. Step 3: Cross multiply
    5,855.62x = 8,083.39 × 3,734.00
  4. Step 4: Simplify right side
    5,855.62x = 30,183,342.51
  5. Step 5: Solve for x
    x = 30,183,342.51/5,855.62
  6. Step 6: Final answer
    x = 5,154.60

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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.