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Finding the Fourth Proportional to 5,668.96, 7,823.12 and 3,184.96

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Solution

The fourth proportional to 5,668.96, 7,823.12 and 3,184.96 is: 4,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.96 : 7,823.12 = 3,184.96 : x
  2. Step 2: Convert to fraction form
    5,668.96/7,823.12 = 3,184.96/x
  3. Step 3: Cross multiply
    5,668.96x = 7,823.12 × 3,184.96
  4. Step 4: Simplify right side
    5,668.96x = 24,916,324.28
  5. Step 5: Solve for x
    x = 24,916,324.28/5,668.96
  6. Step 6: Final answer
    x = 4,395.22

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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.