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Finding the Fourth Proportional to 4,203.28, 5,797.62 and 3,828.75

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Solution

The fourth proportional to 4,203.28, 5,797.62 and 3,828.75 is: 5,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.28 : 5,797.62 = 3,828.75 : x
  2. Step 2: Convert to fraction form
    4,203.28/5,797.62 = 3,828.75/x
  3. Step 3: Cross multiply
    4,203.28x = 5,797.62 × 3,828.75
  4. Step 4: Simplify right side
    4,203.28x = 22,197,637.58
  5. Step 5: Solve for x
    x = 22,197,637.58/4,203.28
  6. Step 6: Final answer
    x = 5,281.03

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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.