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Finding the Fourth Proportional to 4,072.68, 5,606.10 and 3,514.92

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Solution

The fourth proportional to 4,072.68, 5,606.10 and 3,514.92 is: 4,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.68 : 5,606.10 = 3,514.92 : x
  2. Step 2: Convert to fraction form
    4,072.68/5,606.10 = 3,514.92/x
  3. Step 3: Cross multiply
    4,072.68x = 5,606.10 × 3,514.92
  4. Step 4: Simplify right side
    4,072.68x = 19,704,993.01
  5. Step 5: Solve for x
    x = 19,704,993.01/4,072.68
  6. Step 6: Final answer
    x = 4,838.34

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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.