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Finding the Fourth Proportional to 4,017, 6,019.28 and 2,786.84

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Solution

The fourth proportional to 4,017, 6,019.28 and 2,786.84 is: 4,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017 : 6,019.28 = 2,786.84 : x
  2. Step 2: Convert to fraction form
    4,017/6,019.28 = 2,786.84/x
  3. Step 3: Cross multiply
    4,017x = 6,019.28 × 2,786.84
  4. Step 4: Simplify right side
    4,017x = 16,774,770.28
  5. Step 5: Solve for x
    x = 16,774,770.28/4,017
  6. Step 6: Final answer
    x = 4,175.94

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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.