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Finding the Fourth Proportional to 5,906.12, 8,857.10 and 1,745.02

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Solution

The fourth proportional to 5,906.12, 8,857.10 and 1,745.02 is: 2,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.12 : 8,857.10 = 1,745.02 : x
  2. Step 2: Convert to fraction form
    5,906.12/8,857.10 = 1,745.02/x
  3. Step 3: Cross multiply
    5,906.12x = 8,857.10 × 1,745.02
  4. Step 4: Simplify right side
    5,906.12x = 15,455,816.64
  5. Step 5: Solve for x
    x = 15,455,816.64/5,906.12
  6. Step 6: Final answer
    x = 2,616.92

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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.