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Finding the Fourth Proportional to 4,843.25, 7,265.15 and 1,380.77

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Solution

The fourth proportional to 4,843.25, 7,265.15 and 1,380.77 is: 2,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.25 : 7,265.15 = 1,380.77 : x
  2. Step 2: Convert to fraction form
    4,843.25/7,265.15 = 1,380.77/x
  3. Step 3: Cross multiply
    4,843.25x = 7,265.15 × 1,380.77
  4. Step 4: Simplify right side
    4,843.25x = 10,031,501.17
  5. Step 5: Solve for x
    x = 10,031,501.17/4,843.25
  6. Step 6: Final answer
    x = 2,071.23

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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.