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Finding the Fourth Proportional to 5,105.01, 7,654.80 and 1,772.41

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Solution

The fourth proportional to 5,105.01, 7,654.80 and 1,772.41 is: 2,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.01 : 7,654.80 = 1,772.41 : x
  2. Step 2: Convert to fraction form
    5,105.01/7,654.80 = 1,772.41/x
  3. Step 3: Cross multiply
    5,105.01x = 7,654.80 × 1,772.41
  4. Step 4: Simplify right side
    5,105.01x = 13,567,463.27
  5. Step 5: Solve for x
    x = 13,567,463.27/5,105.01
  6. Step 6: Final answer
    x = 2,657.68

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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.