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Finding the Fourth Proportional to 3,546.34, 5,308.56 and 2,311.09

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Solution

The fourth proportional to 3,546.34, 5,308.56 and 2,311.09 is: 3,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.34 : 5,308.56 = 2,311.09 : x
  2. Step 2: Convert to fraction form
    3,546.34/5,308.56 = 2,311.09/x
  3. Step 3: Cross multiply
    3,546.34x = 5,308.56 × 2,311.09
  4. Step 4: Simplify right side
    3,546.34x = 12,268,559.93
  5. Step 5: Solve for x
    x = 12,268,559.93/3,546.34
  6. Step 6: Final answer
    x = 3,459.50

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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.