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Finding the Fourth Proportional to 4,761.58, 7,142.37 and 2,782.36

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Solution

The fourth proportional to 4,761.58, 7,142.37 and 2,782.36 is: 4,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.58 : 7,142.37 = 2,782.36 : x
  2. Step 2: Convert to fraction form
    4,761.58/7,142.37 = 2,782.36/x
  3. Step 3: Cross multiply
    4,761.58x = 7,142.37 × 2,782.36
  4. Step 4: Simplify right side
    4,761.58x = 19,872,644.59
  5. Step 5: Solve for x
    x = 19,872,644.59/4,761.58
  6. Step 6: Final answer
    x = 4,173.54

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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.