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Finding the Fourth Proportional to 5,668.63, 7,823.19 and 3,185.11

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Solution

The fourth proportional to 5,668.63, 7,823.19 and 3,185.11 is: 4,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.63 : 7,823.19 = 3,185.11 : x
  2. Step 2: Convert to fraction form
    5,668.63/7,823.19 = 3,185.11/x
  3. Step 3: Cross multiply
    5,668.63x = 7,823.19 × 3,185.11
  4. Step 4: Simplify right side
    5,668.63x = 24,917,720.70
  5. Step 5: Solve for x
    x = 24,917,720.70/5,668.63
  6. Step 6: Final answer
    x = 4,395.72

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Why These Related Problems?

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