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Finding the Fourth Proportional to 3,754.98, 5,632.42 and 1,256.33

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Solution

The fourth proportional to 3,754.98, 5,632.42 and 1,256.33 is: 1,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.98 : 5,632.42 = 1,256.33 : x
  2. Step 2: Convert to fraction form
    3,754.98/5,632.42 = 1,256.33/x
  3. Step 3: Cross multiply
    3,754.98x = 5,632.42 × 1,256.33
  4. Step 4: Simplify right side
    3,754.98x = 7,076,178.22
  5. Step 5: Solve for x
    x = 7,076,178.22/3,754.98
  6. Step 6: Final answer
    x = 1,884.48

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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.