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Finding the Fourth Proportional to 3,885.68, 5,816.28 and 2,418.32

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Solution

The fourth proportional to 3,885.68, 5,816.28 and 2,418.32 is: 3,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.68 : 5,816.28 = 2,418.32 : x
  2. Step 2: Convert to fraction form
    3,885.68/5,816.28 = 2,418.32/x
  3. Step 3: Cross multiply
    3,885.68x = 5,816.28 × 2,418.32
  4. Step 4: Simplify right side
    3,885.68x = 14,065,626.25
  5. Step 5: Solve for x
    x = 14,065,626.25/3,885.68
  6. Step 6: Final answer
    x = 3,619.86

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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.