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Finding the Fourth Proportional to 4,773.90, 7,161 and 4,076.19

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Solution

The fourth proportional to 4,773.90, 7,161 and 4,076.19 is: 6,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.90 : 7,161 = 4,076.19 : x
  2. Step 2: Convert to fraction form
    4,773.90/7,161 = 4,076.19/x
  3. Step 3: Cross multiply
    4,773.90x = 7,161 × 4,076.19
  4. Step 4: Simplify right side
    4,773.90x = 29,189,596.59
  5. Step 5: Solve for x
    x = 29,189,596.59/4,773.90
  6. Step 6: Final answer
    x = 6,114.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.