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Finding the Fourth Proportional to 3,468.41, 4,786.04 and 2,052.15

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Solution

The fourth proportional to 3,468.41, 4,786.04 and 2,052.15 is: 2,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.41 : 4,786.04 = 2,052.15 : x
  2. Step 2: Convert to fraction form
    3,468.41/4,786.04 = 2,052.15/x
  3. Step 3: Cross multiply
    3,468.41x = 4,786.04 × 2,052.15
  4. Step 4: Simplify right side
    3,468.41x = 9,821,671.99
  5. Step 5: Solve for x
    x = 9,821,671.99/3,468.41
  6. Step 6: Final answer
    x = 2,831.75

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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.