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Finding the Fourth Proportional to 3,809.21, 5,256.83 and 2,130.68

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Solution

The fourth proportional to 3,809.21, 5,256.83 and 2,130.68 is: 2,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.21 : 5,256.83 = 2,130.68 : x
  2. Step 2: Convert to fraction form
    3,809.21/5,256.83 = 2,130.68/x
  3. Step 3: Cross multiply
    3,809.21x = 5,256.83 × 2,130.68
  4. Step 4: Simplify right side
    3,809.21x = 11,200,641.01
  5. Step 5: Solve for x
    x = 11,200,641.01/3,809.21
  6. Step 6: Final answer
    x = 2,940.41

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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.