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Finding the Fourth Proportional to 4,272.60, 6,408.90 and 3,106.20

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Solution

The fourth proportional to 4,272.60, 6,408.90 and 3,106.20 is: 4,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.60 : 6,408.90 = 3,106.20 : x
  2. Step 2: Convert to fraction form
    4,272.60/6,408.90 = 3,106.20/x
  3. Step 3: Cross multiply
    4,272.60x = 6,408.90 × 3,106.20
  4. Step 4: Simplify right side
    4,272.60x = 19,907,325.18
  5. Step 5: Solve for x
    x = 19,907,325.18/4,272.60
  6. Step 6: Final answer
    x = 4,659.30

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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.