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Finding the Fourth Proportional to 4,668.05, 7,003.69 and 3,114.29

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Solution

The fourth proportional to 4,668.05, 7,003.69 and 3,114.29 is: 4,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.05 : 7,003.69 = 3,114.29 : x
  2. Step 2: Convert to fraction form
    4,668.05/7,003.69 = 3,114.29/x
  3. Step 3: Cross multiply
    4,668.05x = 7,003.69 × 3,114.29
  4. Step 4: Simplify right side
    4,668.05x = 21,811,521.73
  5. Step 5: Solve for x
    x = 21,811,521.73/4,668.05
  6. Step 6: Final answer
    x = 4,672.51

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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.