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Finding the Fourth Proportional to 4,843.62, 7,266.38 and 1,556.46

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Solution

The fourth proportional to 4,843.62, 7,266.38 and 1,556.46 is: 2,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.62 : 7,266.38 = 1,556.46 : x
  2. Step 2: Convert to fraction form
    4,843.62/7,266.38 = 1,556.46/x
  3. Step 3: Cross multiply
    4,843.62x = 7,266.38 × 1,556.46
  4. Step 4: Simplify right side
    4,843.62x = 11,309,822.03
  5. Step 5: Solve for x
    x = 11,309,822.03/4,843.62
  6. Step 6: Final answer
    x = 2,334.99

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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.