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Finding the Fourth Proportional to 5,843.54, 8,765.87 and 1,895.25

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Solution

The fourth proportional to 5,843.54, 8,765.87 and 1,895.25 is: 2,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.54 : 8,765.87 = 1,895.25 : x
  2. Step 2: Convert to fraction form
    5,843.54/8,765.87 = 1,895.25/x
  3. Step 3: Cross multiply
    5,843.54x = 8,765.87 × 1,895.25
  4. Step 4: Simplify right side
    5,843.54x = 16,613,499.87
  5. Step 5: Solve for x
    x = 16,613,499.87/5,843.54
  6. Step 6: Final answer
    x = 2,843.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.