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Finding the Fourth Proportional to 3,830.99, 5,286.12 and 2,259.39

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Solution

The fourth proportional to 3,830.99, 5,286.12 and 2,259.39 is: 3,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.99 : 5,286.12 = 2,259.39 : x
  2. Step 2: Convert to fraction form
    3,830.99/5,286.12 = 2,259.39/x
  3. Step 3: Cross multiply
    3,830.99x = 5,286.12 × 2,259.39
  4. Step 4: Simplify right side
    3,830.99x = 11,943,406.67
  5. Step 5: Solve for x
    x = 11,943,406.67/3,830.99
  6. Step 6: Final answer
    x = 3,117.58

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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.