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Finding the Fourth Proportional to 3,438.14, 4,744.62 and 1,866.22

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Solution

The fourth proportional to 3,438.14, 4,744.62 and 1,866.22 is: 2,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.14 : 4,744.62 = 1,866.22 : x
  2. Step 2: Convert to fraction form
    3,438.14/4,744.62 = 1,866.22/x
  3. Step 3: Cross multiply
    3,438.14x = 4,744.62 × 1,866.22
  4. Step 4: Simplify right side
    3,438.14x = 8,854,504.74
  5. Step 5: Solve for x
    x = 8,854,504.74/3,438.14
  6. Step 6: Final answer
    x = 2,575.38

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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.