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Finding the Fourth Proportional to 4,701.43, 7,044.73 and 1,735.80

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Solution

The fourth proportional to 4,701.43, 7,044.73 and 1,735.80 is: 2,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.43 : 7,044.73 = 1,735.80 : x
  2. Step 2: Convert to fraction form
    4,701.43/7,044.73 = 1,735.80/x
  3. Step 3: Cross multiply
    4,701.43x = 7,044.73 × 1,735.80
  4. Step 4: Simplify right side
    4,701.43x = 12,228,198.43
  5. Step 5: Solve for x
    x = 12,228,198.43/4,701.43
  6. Step 6: Final answer
    x = 2,600.95

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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.