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Finding the Fourth Proportional to 3,954.47, 5,934 and 1,614.11

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Solution

The fourth proportional to 3,954.47, 5,934 and 1,614.11 is: 2,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.47 : 5,934 = 1,614.11 : x
  2. Step 2: Convert to fraction form
    3,954.47/5,934 = 1,614.11/x
  3. Step 3: Cross multiply
    3,954.47x = 5,934 × 1,614.11
  4. Step 4: Simplify right side
    3,954.47x = 9,578,128.74
  5. Step 5: Solve for x
    x = 9,578,128.74/3,954.47
  6. Step 6: Final answer
    x = 2,422.10

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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.