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Finding the Fourth Proportional to 3,109.93, 4,289.56 and 2,977.09

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Solution

The fourth proportional to 3,109.93, 4,289.56 and 2,977.09 is: 4,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.93 : 4,289.56 = 2,977.09 : x
  2. Step 2: Convert to fraction form
    3,109.93/4,289.56 = 2,977.09/x
  3. Step 3: Cross multiply
    3,109.93x = 4,289.56 × 2,977.09
  4. Step 4: Simplify right side
    3,109.93x = 12,770,406.18
  5. Step 5: Solve for x
    x = 12,770,406.18/3,109.93
  6. Step 6: Final answer
    x = 4,106.33

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