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Finding the Fourth Proportional to 4,016, 5,539.52 and 3,452.80

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Solution

The fourth proportional to 4,016, 5,539.52 and 3,452.80 is: 4,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016 : 5,539.52 = 3,452.80 : x
  2. Step 2: Convert to fraction form
    4,016/5,539.52 = 3,452.80/x
  3. Step 3: Cross multiply
    4,016x = 5,539.52 × 3,452.80
  4. Step 4: Simplify right side
    4,016x = 19,126,854.66
  5. Step 5: Solve for x
    x = 19,126,854.66/4,016
  6. Step 6: Final answer
    x = 4,762.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.