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Finding the Fourth Proportional to 3,628.40, 5,442.17 and 1,164.96

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Solution

The fourth proportional to 3,628.40, 5,442.17 and 1,164.96 is: 1,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.40 : 5,442.17 = 1,164.96 : x
  2. Step 2: Convert to fraction form
    3,628.40/5,442.17 = 1,164.96/x
  3. Step 3: Cross multiply
    3,628.40x = 5,442.17 × 1,164.96
  4. Step 4: Simplify right side
    3,628.40x = 6,339,904.54
  5. Step 5: Solve for x
    x = 6,339,904.54/3,628.40
  6. Step 6: Final answer
    x = 1,747.30

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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.