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Finding the Fourth Proportional to 3,475.54, 5,213.94 and 1,166.50

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Solution

The fourth proportional to 3,475.54, 5,213.94 and 1,166.50 is: 1,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.54 : 5,213.94 = 1,166.50 : x
  2. Step 2: Convert to fraction form
    3,475.54/5,213.94 = 1,166.50/x
  3. Step 3: Cross multiply
    3,475.54x = 5,213.94 × 1,166.50
  4. Step 4: Simplify right side
    3,475.54x = 6,082,061.01
  5. Step 5: Solve for x
    x = 6,082,061.01/3,475.54
  6. Step 6: Final answer
    x = 1,749.96

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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.