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Finding the Fourth Proportional to 4,668.41, 6,436.22 and 3,771.14

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Solution

The fourth proportional to 4,668.41, 6,436.22 and 3,771.14 is: 5,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.41 : 6,436.22 = 3,771.14 : x
  2. Step 2: Convert to fraction form
    4,668.41/6,436.22 = 3,771.14/x
  3. Step 3: Cross multiply
    4,668.41x = 6,436.22 × 3,771.14
  4. Step 4: Simplify right side
    4,668.41x = 24,271,886.69
  5. Step 5: Solve for x
    x = 24,271,886.69/4,668.41
  6. Step 6: Final answer
    x = 5,199.18

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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.