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Finding the Fourth Proportional to 3,655.92, 5,040.36 and 3,065.52

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Solution

The fourth proportional to 3,655.92, 5,040.36 and 3,065.52 is: 4,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.92 : 5,040.36 = 3,065.52 : x
  2. Step 2: Convert to fraction form
    3,655.92/5,040.36 = 3,065.52/x
  3. Step 3: Cross multiply
    3,655.92x = 5,040.36 × 3,065.52
  4. Step 4: Simplify right side
    3,655.92x = 15,451,324.39
  5. Step 5: Solve for x
    x = 15,451,324.39/3,655.92
  6. Step 6: Final answer
    x = 4,226.38

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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.