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Finding the Fourth Proportional to 3,806.19, 5,255.28 and 2,967.84

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Solution

The fourth proportional to 3,806.19, 5,255.28 and 2,967.84 is: 4,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.19 : 5,255.28 = 2,967.84 : x
  2. Step 2: Convert to fraction form
    3,806.19/5,255.28 = 2,967.84/x
  3. Step 3: Cross multiply
    3,806.19x = 5,255.28 × 2,967.84
  4. Step 4: Simplify right side
    3,806.19x = 15,596,830.20
  5. Step 5: Solve for x
    x = 15,596,830.20/3,806.19
  6. Step 6: Final answer
    x = 4,097.75

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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.