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Finding the Fourth Proportional to 3,639.91, 5,017.99 and 3,078.12

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Solution

The fourth proportional to 3,639.91, 5,017.99 and 3,078.12 is: 4,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.91 : 5,017.99 = 3,078.12 : x
  2. Step 2: Convert to fraction form
    3,639.91/5,017.99 = 3,078.12/x
  3. Step 3: Cross multiply
    3,639.91x = 5,017.99 × 3,078.12
  4. Step 4: Simplify right side
    3,639.91x = 15,445,975.38
  5. Step 5: Solve for x
    x = 15,445,975.38/3,639.91
  6. Step 6: Final answer
    x = 4,243.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.