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Finding the Fourth Proportional to 5,145.63, 7,716.87 and 1,635.49

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Solution

The fourth proportional to 5,145.63, 7,716.87 and 1,635.49 is: 2,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.63 : 7,716.87 = 1,635.49 : x
  2. Step 2: Convert to fraction form
    5,145.63/7,716.87 = 1,635.49/x
  3. Step 3: Cross multiply
    5,145.63x = 7,716.87 × 1,635.49
  4. Step 4: Simplify right side
    5,145.63x = 12,620,873.36
  5. Step 5: Solve for x
    x = 12,620,873.36/5,145.63
  6. Step 6: Final answer
    x = 2,452.74

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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.