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Finding the Fourth Proportional to 4,556.72, 6,837.72 and 1,924.06

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Solution

The fourth proportional to 4,556.72, 6,837.72 and 1,924.06 is: 2,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.72 : 6,837.72 = 1,924.06 : x
  2. Step 2: Convert to fraction form
    4,556.72/6,837.72 = 1,924.06/x
  3. Step 3: Cross multiply
    4,556.72x = 6,837.72 × 1,924.06
  4. Step 4: Simplify right side
    4,556.72x = 13,156,183.54
  5. Step 5: Solve for x
    x = 13,156,183.54/4,556.72
  6. Step 6: Final answer
    x = 2,887.20

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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.