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Finding the Fourth Proportional to 3,635.99, 5,453.98 and 1,171.02

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Solution

The fourth proportional to 3,635.99, 5,453.98 and 1,171.02 is: 1,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.99 : 5,453.98 = 1,171.02 : x
  2. Step 2: Convert to fraction form
    3,635.99/5,453.98 = 1,171.02/x
  3. Step 3: Cross multiply
    3,635.99x = 5,453.98 × 1,171.02
  4. Step 4: Simplify right side
    3,635.99x = 6,386,719.66
  5. Step 5: Solve for x
    x = 6,386,719.66/3,635.99
  6. Step 6: Final answer
    x = 1,756.53

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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.