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Finding the Fourth Proportional to 3,107.56, 4,657.20 and 2,716.60

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Solution

The fourth proportional to 3,107.56, 4,657.20 and 2,716.60 is: 4,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.56 : 4,657.20 = 2,716.60 : x
  2. Step 2: Convert to fraction form
    3,107.56/4,657.20 = 2,716.60/x
  3. Step 3: Cross multiply
    3,107.56x = 4,657.20 × 2,716.60
  4. Step 4: Simplify right side
    3,107.56x = 12,651,749.52
  5. Step 5: Solve for x
    x = 12,651,749.52/3,107.56
  6. Step 6: Final answer
    x = 4,071.28

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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.