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Finding the Fourth Proportional to 3,754.26, 5,630.28 and 1,412.57

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Solution

The fourth proportional to 3,754.26, 5,630.28 and 1,412.57 is: 2,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.26 : 5,630.28 = 1,412.57 : x
  2. Step 2: Convert to fraction form
    3,754.26/5,630.28 = 1,412.57/x
  3. Step 3: Cross multiply
    3,754.26x = 5,630.28 × 1,412.57
  4. Step 4: Simplify right side
    3,754.26x = 7,953,136.47
  5. Step 5: Solve for x
    x = 7,953,136.47/3,754.26
  6. Step 6: Final answer
    x = 2,118.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.