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Finding the Fourth Proportional to 3,414.88, 5,118.48 and 1,684.72

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Solution

The fourth proportional to 3,414.88, 5,118.48 and 1,684.72 is: 2,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.88 : 5,118.48 = 1,684.72 : x
  2. Step 2: Convert to fraction form
    3,414.88/5,118.48 = 1,684.72/x
  3. Step 3: Cross multiply
    3,414.88x = 5,118.48 × 1,684.72
  4. Step 4: Simplify right side
    3,414.88x = 8,623,205.63
  5. Step 5: Solve for x
    x = 8,623,205.63/3,414.88
  6. Step 6: Final answer
    x = 2,525.19

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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.