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Finding the Fourth Proportional to 3,452.52, 5,171.58 and 1,605.23

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Solution

The fourth proportional to 3,452.52, 5,171.58 and 1,605.23 is: 2,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.52 : 5,171.58 = 1,605.23 : x
  2. Step 2: Convert to fraction form
    3,452.52/5,171.58 = 1,605.23/x
  3. Step 3: Cross multiply
    3,452.52x = 5,171.58 × 1,605.23
  4. Step 4: Simplify right side
    3,452.52x = 8,301,549.51
  5. Step 5: Solve for x
    x = 8,301,549.51/3,452.52
  6. Step 6: Final answer
    x = 2,404.49

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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.