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Finding the Fourth Proportional to 5,408.64, 8,104.56 and 4,106.16

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Solution

The fourth proportional to 5,408.64, 8,104.56 and 4,106.16 is: 6,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.64 : 8,104.56 = 4,106.16 : x
  2. Step 2: Convert to fraction form
    5,408.64/8,104.56 = 4,106.16/x
  3. Step 3: Cross multiply
    5,408.64x = 8,104.56 × 4,106.16
  4. Step 4: Simplify right side
    5,408.64x = 33,278,620.09
  5. Step 5: Solve for x
    x = 33,278,620.09/5,408.64
  6. Step 6: Final answer
    x = 6,152.86

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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.