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Finding the Fourth Proportional to 3,468.48, 4,785.38 and 2,052.21

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Solution

The fourth proportional to 3,468.48, 4,785.38 and 2,052.21 is: 2,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.48 : 4,785.38 = 2,052.21 : x
  2. Step 2: Convert to fraction form
    3,468.48/4,785.38 = 2,052.21/x
  3. Step 3: Cross multiply
    3,468.48x = 4,785.38 × 2,052.21
  4. Step 4: Simplify right side
    3,468.48x = 9,820,594.43
  5. Step 5: Solve for x
    x = 9,820,594.43/3,468.48
  6. Step 6: Final answer
    x = 2,831.38

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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.