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Finding the Fourth Proportional to 3,443.54, 5,165.20 and 1,103.52

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Solution

The fourth proportional to 3,443.54, 5,165.20 and 1,103.52 is: 1,655.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.54 : 5,165.20 = 1,103.52 : x
  2. Step 2: Convert to fraction form
    3,443.54/5,165.20 = 1,103.52/x
  3. Step 3: Cross multiply
    3,443.54x = 5,165.20 × 1,103.52
  4. Step 4: Simplify right side
    3,443.54x = 5,699,901.50
  5. Step 5: Solve for x
    x = 5,699,901.50/3,443.54
  6. Step 6: Final answer
    x = 1,655.24

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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.