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Finding the Fourth Proportional to 4,146.36, 6,218.28 and 1,952.88

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Solution

The fourth proportional to 4,146.36, 6,218.28 and 1,952.88 is: 2,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.36 : 6,218.28 = 1,952.88 : x
  2. Step 2: Convert to fraction form
    4,146.36/6,218.28 = 1,952.88/x
  3. Step 3: Cross multiply
    4,146.36x = 6,218.28 × 1,952.88
  4. Step 4: Simplify right side
    4,146.36x = 12,143,554.65
  5. Step 5: Solve for x
    x = 12,143,554.65/4,146.36
  6. Step 6: Final answer
    x = 2,928.73

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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.