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Finding the Fourth Proportional to 3,792.37, 5,684.88 and 1,843.51

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Solution

The fourth proportional to 3,792.37, 5,684.88 and 1,843.51 is: 2,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.37 : 5,684.88 = 1,843.51 : x
  2. Step 2: Convert to fraction form
    3,792.37/5,684.88 = 1,843.51/x
  3. Step 3: Cross multiply
    3,792.37x = 5,684.88 × 1,843.51
  4. Step 4: Simplify right side
    3,792.37x = 10,480,133.13
  5. Step 5: Solve for x
    x = 10,480,133.13/3,792.37
  6. Step 6: Final answer
    x = 2,763.48

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1.5x scale

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.