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Finding the Fourth Proportional to 4,843.40, 7,265.10 and 4,794.80

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Solution

The fourth proportional to 4,843.40, 7,265.10 and 4,794.80 is: 7,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.40 : 7,265.10 = 4,794.80 : x
  2. Step 2: Convert to fraction form
    4,843.40/7,265.10 = 4,794.80/x
  3. Step 3: Cross multiply
    4,843.40x = 7,265.10 × 4,794.80
  4. Step 4: Simplify right side
    4,843.40x = 34,834,701.48
  5. Step 5: Solve for x
    x = 34,834,701.48/4,843.40
  6. Step 6: Final answer
    x = 7,192.20

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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.