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Finding the Fourth Proportional to 5,224.36, 7,203.06 and 3,824.68

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Solution

The fourth proportional to 5,224.36, 7,203.06 and 3,824.68 is: 5,273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.36 : 7,203.06 = 3,824.68 : x
  2. Step 2: Convert to fraction form
    5,224.36/7,203.06 = 3,824.68/x
  3. Step 3: Cross multiply
    5,224.36x = 7,203.06 × 3,824.68
  4. Step 4: Simplify right side
    5,224.36x = 27,549,399.52
  5. Step 5: Solve for x
    x = 27,549,399.52/5,224.36
  6. Step 6: Final answer
    x = 5,273.26

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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.