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Finding the Fourth Proportional to 5,668.39, 8,497.72 and 1,968.31

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Solution

The fourth proportional to 5,668.39, 8,497.72 and 1,968.31 is: 2,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.39 : 8,497.72 = 1,968.31 : x
  2. Step 2: Convert to fraction form
    5,668.39/8,497.72 = 1,968.31/x
  3. Step 3: Cross multiply
    5,668.39x = 8,497.72 × 1,968.31
  4. Step 4: Simplify right side
    5,668.39x = 16,726,094.92
  5. Step 5: Solve for x
    x = 16,726,094.92/5,668.39
  6. Step 6: Final answer
    x = 2,950.77

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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.