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Finding the Fourth Proportional to 4,761.01, 7,142.66 and 1,429.25

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Solution

The fourth proportional to 4,761.01, 7,142.66 and 1,429.25 is: 2,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.01 : 7,142.66 = 1,429.25 : x
  2. Step 2: Convert to fraction form
    4,761.01/7,142.66 = 1,429.25/x
  3. Step 3: Cross multiply
    4,761.01x = 7,142.66 × 1,429.25
  4. Step 4: Simplify right side
    4,761.01x = 10,208,611.09
  5. Step 5: Solve for x
    x = 10,208,611.09/4,761.01
  6. Step 6: Final answer
    x = 2,144.21

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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.