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Finding the Fourth Proportional to 5,414.63, 8,122.16 and 1,716.77

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Solution

The fourth proportional to 5,414.63, 8,122.16 and 1,716.77 is: 2,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.63 : 8,122.16 = 1,716.77 : x
  2. Step 2: Convert to fraction form
    5,414.63/8,122.16 = 1,716.77/x
  3. Step 3: Cross multiply
    5,414.63x = 8,122.16 × 1,716.77
  4. Step 4: Simplify right side
    5,414.63x = 13,943,905.22
  5. Step 5: Solve for x
    x = 13,943,905.22/5,414.63
  6. Step 6: Final answer
    x = 2,575.23

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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.