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Finding the Fourth Proportional to 3,516.02, 4,851.74 and 1,944

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Solution

The fourth proportional to 3,516.02, 4,851.74 and 1,944 is: 2,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.02 : 4,851.74 = 1,944 : x
  2. Step 2: Convert to fraction form
    3,516.02/4,851.74 = 1,944/x
  3. Step 3: Cross multiply
    3,516.02x = 4,851.74 × 1,944
  4. Step 4: Simplify right side
    3,516.02x = 9,431,782.56
  5. Step 5: Solve for x
    x = 9,431,782.56/3,516.02
  6. Step 6: Final answer
    x = 2,682.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.