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Finding the Fourth Proportional to 5,984.40, 8,980.34 and 2,286.95

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Solution

The fourth proportional to 5,984.40, 8,980.34 and 2,286.95 is: 3,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.40 : 8,980.34 = 2,286.95 : x
  2. Step 2: Convert to fraction form
    5,984.40/8,980.34 = 2,286.95/x
  3. Step 3: Cross multiply
    5,984.40x = 8,980.34 × 2,286.95
  4. Step 4: Simplify right side
    5,984.40x = 20,537,588.56
  5. Step 5: Solve for x
    x = 20,537,588.56/5,984.40
  6. Step 6: Final answer
    x = 3,431.85

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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.