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Finding the Fourth Proportional to 3,809.25, 5,256.41 and 2,130.57

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Solution

The fourth proportional to 3,809.25, 5,256.41 and 2,130.57 is: 2,939.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.25 : 5,256.41 = 2,130.57 : x
  2. Step 2: Convert to fraction form
    3,809.25/5,256.41 = 2,130.57/x
  3. Step 3: Cross multiply
    3,809.25x = 5,256.41 × 2,130.57
  4. Step 4: Simplify right side
    3,809.25x = 11,199,138.80
  5. Step 5: Solve for x
    x = 11,199,138.80/3,809.25
  6. Step 6: Final answer
    x = 2,939.99

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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.