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Finding the Fourth Proportional to 4,763.31, 7,142.98 and 1,801.23

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Solution

The fourth proportional to 4,763.31, 7,142.98 and 1,801.23 is: 2,701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.31 : 7,142.98 = 1,801.23 : x
  2. Step 2: Convert to fraction form
    4,763.31/7,142.98 = 1,801.23/x
  3. Step 3: Cross multiply
    4,763.31x = 7,142.98 × 1,801.23
  4. Step 4: Simplify right side
    4,763.31x = 12,866,149.87
  5. Step 5: Solve for x
    x = 12,866,149.87/4,763.31
  6. Step 6: Final answer
    x = 2,701.09

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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.