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Finding the Fourth Proportional to 3,645.37, 5,467.60 and 1,013.08

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Solution

The fourth proportional to 3,645.37, 5,467.60 and 1,013.08 is: 1,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.37 : 5,467.60 = 1,013.08 : x
  2. Step 2: Convert to fraction form
    3,645.37/5,467.60 = 1,013.08/x
  3. Step 3: Cross multiply
    3,645.37x = 5,467.60 × 1,013.08
  4. Step 4: Simplify right side
    3,645.37x = 5,539,116.21
  5. Step 5: Solve for x
    x = 5,539,116.21/3,645.37
  6. Step 6: Final answer
    x = 1,519.49

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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.