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Finding the Fourth Proportional to 4,863.72, 7,284.63 and 3,409.37

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Solution

The fourth proportional to 4,863.72, 7,284.63 and 3,409.37 is: 5,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.72 : 7,284.63 = 3,409.37 : x
  2. Step 2: Convert to fraction form
    4,863.72/7,284.63 = 3,409.37/x
  3. Step 3: Cross multiply
    4,863.72x = 7,284.63 × 3,409.37
  4. Step 4: Simplify right side
    4,863.72x = 24,835,962.56
  5. Step 5: Solve for x
    x = 24,835,962.56/4,863.72
  6. Step 6: Final answer
    x = 5,106.37

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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.