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Finding the Fourth Proportional to 4,185.82, 6,242.13 and 3,668.22

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Solution

The fourth proportional to 4,185.82, 6,242.13 and 3,668.22 is: 5,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.82 : 6,242.13 = 3,668.22 : x
  2. Step 2: Convert to fraction form
    4,185.82/6,242.13 = 3,668.22/x
  3. Step 3: Cross multiply
    4,185.82x = 6,242.13 × 3,668.22
  4. Step 4: Simplify right side
    4,185.82x = 22,897,506.11
  5. Step 5: Solve for x
    x = 22,897,506.11/4,185.82
  6. Step 6: Final answer
    x = 5,470.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.