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Finding the Fourth Proportional to 3,480.84, 5,222.88 and 1,290.33

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Solution

The fourth proportional to 3,480.84, 5,222.88 and 1,290.33 is: 1,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.84 : 5,222.88 = 1,290.33 : x
  2. Step 2: Convert to fraction form
    3,480.84/5,222.88 = 1,290.33/x
  3. Step 3: Cross multiply
    3,480.84x = 5,222.88 × 1,290.33
  4. Step 4: Simplify right side
    3,480.84x = 6,739,238.75
  5. Step 5: Solve for x
    x = 6,739,238.75/3,480.84
  6. Step 6: Final answer
    x = 1,936.10

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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.