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Finding the Fourth Proportional to 4,303.09, 6,443.70 and 4,198.60

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Solution

The fourth proportional to 4,303.09, 6,443.70 and 4,198.60 is: 6,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.09 : 6,443.70 = 4,198.60 : x
  2. Step 2: Convert to fraction form
    4,303.09/6,443.70 = 4,198.60/x
  3. Step 3: Cross multiply
    4,303.09x = 6,443.70 × 4,198.60
  4. Step 4: Simplify right side
    4,303.09x = 27,054,518.82
  5. Step 5: Solve for x
    x = 27,054,518.82/4,303.09
  6. Step 6: Final answer
    x = 6,287.23

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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.