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Finding the Fourth Proportional to 3,450.50, 5,171.08 and 1,888.14

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Solution

The fourth proportional to 3,450.50, 5,171.08 and 1,888.14 is: 2,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.50 : 5,171.08 = 1,888.14 : x
  2. Step 2: Convert to fraction form
    3,450.50/5,171.08 = 1,888.14/x
  3. Step 3: Cross multiply
    3,450.50x = 5,171.08 × 1,888.14
  4. Step 4: Simplify right side
    3,450.50x = 9,763,722.99
  5. Step 5: Solve for x
    x = 9,763,722.99/3,450.50
  6. Step 6: Final answer
    x = 2,829.65

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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.