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Finding the Fourth Proportional to 4,215.68, 6,325.12 and 1,908.80

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Solution

The fourth proportional to 4,215.68, 6,325.12 and 1,908.80 is: 2,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.68 : 6,325.12 = 1,908.80 : x
  2. Step 2: Convert to fraction form
    4,215.68/6,325.12 = 1,908.80/x
  3. Step 3: Cross multiply
    4,215.68x = 6,325.12 × 1,908.80
  4. Step 4: Simplify right side
    4,215.68x = 12,073,389.06
  5. Step 5: Solve for x
    x = 12,073,389.06/4,215.68
  6. Step 6: Final answer
    x = 2,863.92

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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.