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Finding the Fourth Proportional to 4,093.68, 5,647.38 and 2,414.28

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Solution

The fourth proportional to 4,093.68, 5,647.38 and 2,414.28 is: 3,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.68 : 5,647.38 = 2,414.28 : x
  2. Step 2: Convert to fraction form
    4,093.68/5,647.38 = 2,414.28/x
  3. Step 3: Cross multiply
    4,093.68x = 5,647.38 × 2,414.28
  4. Step 4: Simplify right side
    4,093.68x = 13,634,356.59
  5. Step 5: Solve for x
    x = 13,634,356.59/4,093.68
  6. Step 6: Final answer
    x = 3,330.59

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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.