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Finding the Fourth Proportional to 3,415.64, 5,121.19 and 2,758.33

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Solution

The fourth proportional to 3,415.64, 5,121.19 and 2,758.33 is: 4,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.64 : 5,121.19 = 2,758.33 : x
  2. Step 2: Convert to fraction form
    3,415.64/5,121.19 = 2,758.33/x
  3. Step 3: Cross multiply
    3,415.64x = 5,121.19 × 2,758.33
  4. Step 4: Simplify right side
    3,415.64x = 14,125,932.01
  5. Step 5: Solve for x
    x = 14,125,932.01/3,415.64
  6. Step 6: Final answer
    x = 4,135.66

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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.