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Finding the Fourth Proportional to 5,105.54, 7,651.82 and 4,412.18

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Solution

The fourth proportional to 5,105.54, 7,651.82 and 4,412.18 is: 6,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.54 : 7,651.82 = 4,412.18 : x
  2. Step 2: Convert to fraction form
    5,105.54/7,651.82 = 4,412.18/x
  3. Step 3: Cross multiply
    5,105.54x = 7,651.82 × 4,412.18
  4. Step 4: Simplify right side
    5,105.54x = 33,761,207.17
  5. Step 5: Solve for x
    x = 33,761,207.17/5,105.54
  6. Step 6: Final answer
    x = 6,612.66

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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.