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Finding the Fourth Proportional to 4,761.16, 7,142.58 and 1,839.22

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Solution

The fourth proportional to 4,761.16, 7,142.58 and 1,839.22 is: 2,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.16 : 7,142.58 = 1,839.22 : x
  2. Step 2: Convert to fraction form
    4,761.16/7,142.58 = 1,839.22/x
  3. Step 3: Cross multiply
    4,761.16x = 7,142.58 × 1,839.22
  4. Step 4: Simplify right side
    4,761.16x = 13,136,775.99
  5. Step 5: Solve for x
    x = 13,136,775.99/4,761.16
  6. Step 6: Final answer
    x = 2,759.15

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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.