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Finding the Fourth Proportional to 5,102.68, 7,655.96 and 2,635.96

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Solution

The fourth proportional to 5,102.68, 7,655.96 and 2,635.96 is: 3,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.68 : 7,655.96 = 2,635.96 : x
  2. Step 2: Convert to fraction form
    5,102.68/7,655.96 = 2,635.96/x
  3. Step 3: Cross multiply
    5,102.68x = 7,655.96 × 2,635.96
  4. Step 4: Simplify right side
    5,102.68x = 20,180,804.32
  5. Step 5: Solve for x
    x = 20,180,804.32/5,102.68
  6. Step 6: Final answer
    x = 3,954.94

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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.