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Finding the Fourth Proportional to 3,392.12, 5,087.64 and 1,311.50

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Solution

The fourth proportional to 3,392.12, 5,087.64 and 1,311.50 is: 1,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.12 : 5,087.64 = 1,311.50 : x
  2. Step 2: Convert to fraction form
    3,392.12/5,087.64 = 1,311.50/x
  3. Step 3: Cross multiply
    3,392.12x = 5,087.64 × 1,311.50
  4. Step 4: Simplify right side
    3,392.12x = 6,672,439.86
  5. Step 5: Solve for x
    x = 6,672,439.86/3,392.12
  6. Step 6: Final answer
    x = 1,967.04

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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.