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Finding the Fourth Proportional to 3,732.15, 5,146.95 and 2,986.14

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Solution

The fourth proportional to 3,732.15, 5,146.95 and 2,986.14 is: 4,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.15 : 5,146.95 = 2,986.14 : x
  2. Step 2: Convert to fraction form
    3,732.15/5,146.95 = 2,986.14/x
  3. Step 3: Cross multiply
    3,732.15x = 5,146.95 × 2,986.14
  4. Step 4: Simplify right side
    3,732.15x = 15,369,513.27
  5. Step 5: Solve for x
    x = 15,369,513.27/3,732.15
  6. Step 6: Final answer
    x = 4,118.14

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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.