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Finding the Fourth Proportional to 3,653.96, 5,481.66 and 1,345.48

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Solution

The fourth proportional to 3,653.96, 5,481.66 and 1,345.48 is: 2,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.96 : 5,481.66 = 1,345.48 : x
  2. Step 2: Convert to fraction form
    3,653.96/5,481.66 = 1,345.48/x
  3. Step 3: Cross multiply
    3,653.96x = 5,481.66 × 1,345.48
  4. Step 4: Simplify right side
    3,653.96x = 7,375,463.90
  5. Step 5: Solve for x
    x = 7,375,463.90/3,653.96
  6. Step 6: Final answer
    x = 2,018.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.