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Finding the Fourth Proportional to 3,890, 5,368.29 and 2,211.14

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Solution

The fourth proportional to 3,890, 5,368.29 and 2,211.14 is: 3,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890 : 5,368.29 = 2,211.14 : x
  2. Step 2: Convert to fraction form
    3,890/5,368.29 = 2,211.14/x
  3. Step 3: Cross multiply
    3,890x = 5,368.29 × 2,211.14
  4. Step 4: Simplify right side
    3,890x = 11,870,040.75
  5. Step 5: Solve for x
    x = 11,870,040.75/3,890
  6. Step 6: Final answer
    x = 3,051.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.