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Finding the Fourth Proportional to 3,408.63, 4,706.23 and 2,512.47

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Solution

The fourth proportional to 3,408.63, 4,706.23 and 2,512.47 is: 3,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.63 : 4,706.23 = 2,512.47 : x
  2. Step 2: Convert to fraction form
    3,408.63/4,706.23 = 2,512.47/x
  3. Step 3: Cross multiply
    3,408.63x = 4,706.23 × 2,512.47
  4. Step 4: Simplify right side
    3,408.63x = 11,824,249.13
  5. Step 5: Solve for x
    x = 11,824,249.13/3,408.63
  6. Step 6: Final answer
    x = 3,468.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.