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Finding the Fourth Proportional to 5,415.25, 8,123.04 and 1,519.66

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Solution

The fourth proportional to 5,415.25, 8,123.04 and 1,519.66 is: 2,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.25 : 8,123.04 = 1,519.66 : x
  2. Step 2: Convert to fraction form
    5,415.25/8,123.04 = 1,519.66/x
  3. Step 3: Cross multiply
    5,415.25x = 8,123.04 × 1,519.66
  4. Step 4: Simplify right side
    5,415.25x = 12,344,258.97
  5. Step 5: Solve for x
    x = 12,344,258.97/5,415.25
  6. Step 6: Final answer
    x = 2,279.54

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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.