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Finding the Fourth Proportional to 3,418.84, 5,128.55 and 1,338.69

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Solution

The fourth proportional to 3,418.84, 5,128.55 and 1,338.69 is: 2,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.84 : 5,128.55 = 1,338.69 : x
  2. Step 2: Convert to fraction form
    3,418.84/5,128.55 = 1,338.69/x
  3. Step 3: Cross multiply
    3,418.84x = 5,128.55 × 1,338.69
  4. Step 4: Simplify right side
    3,418.84x = 6,865,556.16
  5. Step 5: Solve for x
    x = 6,865,556.16/3,418.84
  6. Step 6: Final answer
    x = 2,008.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.