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Finding the Fourth Proportional to 3,954.15, 5,934.14 and 1,874.15

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Solution

The fourth proportional to 3,954.15, 5,934.14 and 1,874.15 is: 2,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.15 : 5,934.14 = 1,874.15 : x
  2. Step 2: Convert to fraction form
    3,954.15/5,934.14 = 1,874.15/x
  3. Step 3: Cross multiply
    3,954.15x = 5,934.14 × 1,874.15
  4. Step 4: Simplify right side
    3,954.15x = 11,121,443.50
  5. Step 5: Solve for x
    x = 11,121,443.50/3,954.15
  6. Step 6: Final answer
    x = 2,812.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.