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Finding the Fourth Proportional to 3,661.25, 5,052.54 and 2,005.25

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Solution

The fourth proportional to 3,661.25, 5,052.54 and 2,005.25 is: 2,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.25 : 5,052.54 = 2,005.25 : x
  2. Step 2: Convert to fraction form
    3,661.25/5,052.54 = 2,005.25/x
  3. Step 3: Cross multiply
    3,661.25x = 5,052.54 × 2,005.25
  4. Step 4: Simplify right side
    3,661.25x = 10,131,605.84
  5. Step 5: Solve for x
    x = 10,131,605.84/3,661.25
  6. Step 6: Final answer
    x = 2,767.25

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1.5x scale

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.