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Finding the Fourth Proportional to 4,668.72, 6,437.88 and 4,198.56

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Solution

The fourth proportional to 4,668.72, 6,437.88 and 4,198.56 is: 5,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.72 : 6,437.88 = 4,198.56 : x
  2. Step 2: Convert to fraction form
    4,668.72/6,437.88 = 4,198.56/x
  3. Step 3: Cross multiply
    4,668.72x = 6,437.88 × 4,198.56
  4. Step 4: Simplify right side
    4,668.72x = 27,029,825.45
  5. Step 5: Solve for x
    x = 27,029,825.45/4,668.72
  6. Step 6: Final answer
    x = 5,789.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.