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Finding the Fourth Proportional to 5,090.67, 7,632.09 and 2,456.82

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Solution

The fourth proportional to 5,090.67, 7,632.09 and 2,456.82 is: 3,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.67 : 7,632.09 = 2,456.82 : x
  2. Step 2: Convert to fraction form
    5,090.67/7,632.09 = 2,456.82/x
  3. Step 3: Cross multiply
    5,090.67x = 7,632.09 × 2,456.82
  4. Step 4: Simplify right side
    5,090.67x = 18,750,671.35
  5. Step 5: Solve for x
    x = 18,750,671.35/5,090.67
  6. Step 6: Final answer
    x = 3,683.34

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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.