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Finding the Fourth Proportional to 3,646.56, 5,471.28 and 1,338.24

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Solution

The fourth proportional to 3,646.56, 5,471.28 and 1,338.24 is: 2,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.56 : 5,471.28 = 1,338.24 : x
  2. Step 2: Convert to fraction form
    3,646.56/5,471.28 = 1,338.24/x
  3. Step 3: Cross multiply
    3,646.56x = 5,471.28 × 1,338.24
  4. Step 4: Simplify right side
    3,646.56x = 7,321,885.75
  5. Step 5: Solve for x
    x = 7,321,885.75/3,646.56
  6. Step 6: Final answer
    x = 2,007.89

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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.