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Finding the Fourth Proportional to 3,546.39, 5,313.43 and 2,156.83

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Solution

The fourth proportional to 3,546.39, 5,313.43 and 2,156.83 is: 3,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.39 : 5,313.43 = 2,156.83 : x
  2. Step 2: Convert to fraction form
    3,546.39/5,313.43 = 2,156.83/x
  3. Step 3: Cross multiply
    3,546.39x = 5,313.43 × 2,156.83
  4. Step 4: Simplify right side
    3,546.39x = 11,460,165.23
  5. Step 5: Solve for x
    x = 11,460,165.23/3,546.39
  6. Step 6: Final answer
    x = 3,231.50

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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.