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Finding the Fourth Proportional to 3,754.63, 5,633.29 and 1,674.45

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Solution

The fourth proportional to 3,754.63, 5,633.29 and 1,674.45 is: 2,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.63 : 5,633.29 = 1,674.45 : x
  2. Step 2: Convert to fraction form
    3,754.63/5,633.29 = 1,674.45/x
  3. Step 3: Cross multiply
    3,754.63x = 5,633.29 × 1,674.45
  4. Step 4: Simplify right side
    3,754.63x = 9,432,658.25
  5. Step 5: Solve for x
    x = 9,432,658.25/3,754.63
  6. Step 6: Final answer
    x = 2,512.27

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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.