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Finding the Fourth Proportional to 4,196.40, 6,289.92 and 1,728.24

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Solution

The fourth proportional to 4,196.40, 6,289.92 and 1,728.24 is: 2,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.40 : 6,289.92 = 1,728.24 : x
  2. Step 2: Convert to fraction form
    4,196.40/6,289.92 = 1,728.24/x
  3. Step 3: Cross multiply
    4,196.40x = 6,289.92 × 1,728.24
  4. Step 4: Simplify right side
    4,196.40x = 10,870,491.34
  5. Step 5: Solve for x
    x = 10,870,491.34/4,196.40
  6. Step 6: Final answer
    x = 2,590.43

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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.