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Finding the Fourth Proportional to 4,668.91, 6,438.76 and 3,407.97

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Solution

The fourth proportional to 4,668.91, 6,438.76 and 3,407.97 is: 4,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.91 : 6,438.76 = 3,407.97 : x
  2. Step 2: Convert to fraction form
    4,668.91/6,438.76 = 3,407.97/x
  3. Step 3: Cross multiply
    4,668.91x = 6,438.76 × 3,407.97
  4. Step 4: Simplify right side
    4,668.91x = 21,943,100.92
  5. Step 5: Solve for x
    x = 21,943,100.92/4,668.91
  6. Step 6: Final answer
    x = 4,699.83

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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.