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Finding the Fourth Proportional to 3,653.73, 5,480.13 and 1,462.47

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Solution

The fourth proportional to 3,653.73, 5,480.13 and 1,462.47 is: 2,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.73 : 5,480.13 = 1,462.47 : x
  2. Step 2: Convert to fraction form
    3,653.73/5,480.13 = 1,462.47/x
  3. Step 3: Cross multiply
    3,653.73x = 5,480.13 × 1,462.47
  4. Step 4: Simplify right side
    3,653.73x = 8,014,525.72
  5. Step 5: Solve for x
    x = 8,014,525.72/3,653.73
  6. Step 6: Final answer
    x = 2,193.52

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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.