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Finding the Fourth Proportional to 4,251.06, 5,864.04 and 3,828.24

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Solution

The fourth proportional to 4,251.06, 5,864.04 and 3,828.24 is: 5,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.06 : 5,864.04 = 3,828.24 : x
  2. Step 2: Convert to fraction form
    4,251.06/5,864.04 = 3,828.24/x
  3. Step 3: Cross multiply
    4,251.06x = 5,864.04 × 3,828.24
  4. Step 4: Simplify right side
    4,251.06x = 22,448,952.49
  5. Step 5: Solve for x
    x = 22,448,952.49/4,251.06
  6. Step 6: Final answer
    x = 5,280.79

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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.