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Finding the Fourth Proportional to 3,775.13, 5,209.67 and 2,119.13

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Solution

The fourth proportional to 3,775.13, 5,209.67 and 2,119.13 is: 2,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.13 : 5,209.67 = 2,119.13 : x
  2. Step 2: Convert to fraction form
    3,775.13/5,209.67 = 2,119.13/x
  3. Step 3: Cross multiply
    3,775.13x = 5,209.67 × 2,119.13
  4. Step 4: Simplify right side
    3,775.13x = 11,039,967.99
  5. Step 5: Solve for x
    x = 11,039,967.99/3,775.13
  6. Step 6: Final answer
    x = 2,924.39

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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.