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Finding the Fourth Proportional to 4,231.31, 5,829.48 and 4,034.48

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Solution

The fourth proportional to 4,231.31, 5,829.48 and 4,034.48 is: 5,558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.31 : 5,829.48 = 4,034.48 : x
  2. Step 2: Convert to fraction form
    4,231.31/5,829.48 = 4,034.48/x
  3. Step 3: Cross multiply
    4,231.31x = 5,829.48 × 4,034.48
  4. Step 4: Simplify right side
    4,231.31x = 23,518,891.32
  5. Step 5: Solve for x
    x = 23,518,891.32/4,231.31
  6. Step 6: Final answer
    x = 5,558.31

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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.