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Finding the Fourth Proportional to 2,852.09, 3,937.03 and 2,412.26

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Solution

The fourth proportional to 2,852.09, 3,937.03 and 2,412.26 is: 3,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.09 : 3,937.03 = 2,412.26 : x
  2. Step 2: Convert to fraction form
    2,852.09/3,937.03 = 2,412.26/x
  3. Step 3: Cross multiply
    2,852.09x = 3,937.03 × 2,412.26
  4. Step 4: Simplify right side
    2,852.09x = 9,497,114.27
  5. Step 5: Solve for x
    x = 9,497,114.27/2,852.09
  6. Step 6: Final answer
    x = 3,329.88

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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.