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Finding the Fourth Proportional to 3,628.35, 5,443.01 and 1,162.35

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Solution

The fourth proportional to 3,628.35, 5,443.01 and 1,162.35 is: 1,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.35 : 5,443.01 = 1,162.35 : x
  2. Step 2: Convert to fraction form
    3,628.35/5,443.01 = 1,162.35/x
  3. Step 3: Cross multiply
    3,628.35x = 5,443.01 × 1,162.35
  4. Step 4: Simplify right side
    3,628.35x = 6,326,676.86
  5. Step 5: Solve for x
    x = 6,326,676.86/3,628.35
  6. Step 6: Final answer
    x = 1,743.68

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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.