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Finding the Fourth Proportional to 3,488.48, 5,231.44 and 1,436.64

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Solution

The fourth proportional to 3,488.48, 5,231.44 and 1,436.64 is: 2,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.48 : 5,231.44 = 1,436.64 : x
  2. Step 2: Convert to fraction form
    3,488.48/5,231.44 = 1,436.64/x
  3. Step 3: Cross multiply
    3,488.48x = 5,231.44 × 1,436.64
  4. Step 4: Simplify right side
    3,488.48x = 7,515,695.96
  5. Step 5: Solve for x
    x = 7,515,695.96/3,488.48
  6. Step 6: Final answer
    x = 2,154.43

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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.