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Finding the Fourth Proportional to 4,589.37, 6,884.76 and 1,667.00

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Solution

The fourth proportional to 4,589.37, 6,884.76 and 1,667.00 is: 2,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.37 : 6,884.76 = 1,667.00 : x
  2. Step 2: Convert to fraction form
    4,589.37/6,884.76 = 1,667.00/x
  3. Step 3: Cross multiply
    4,589.37x = 6,884.76 × 1,667.00
  4. Step 4: Simplify right side
    4,589.37x = 11,476,860.50
  5. Step 5: Solve for x
    x = 11,476,860.50/4,589.37
  6. Step 6: Final answer
    x = 2,500.75

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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.