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Finding the Fourth Proportional to 4,272.85, 6,410.64 and 2,627.13

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Solution

The fourth proportional to 4,272.85, 6,410.64 and 2,627.13 is: 3,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.85 : 6,410.64 = 2,627.13 : x
  2. Step 2: Convert to fraction form
    4,272.85/6,410.64 = 2,627.13/x
  3. Step 3: Cross multiply
    4,272.85x = 6,410.64 × 2,627.13
  4. Step 4: Simplify right side
    4,272.85x = 16,841,618.55
  5. Step 5: Solve for x
    x = 16,841,618.55/4,272.85
  6. Step 6: Final answer
    x = 3,941.54

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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.