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Finding the Fourth Proportional to 3,986.69, 5,502.13 and 2,394.23

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Solution

The fourth proportional to 3,986.69, 5,502.13 and 2,394.23 is: 3,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.69 : 5,502.13 = 2,394.23 : x
  2. Step 2: Convert to fraction form
    3,986.69/5,502.13 = 2,394.23/x
  3. Step 3: Cross multiply
    3,986.69x = 5,502.13 × 2,394.23
  4. Step 4: Simplify right side
    3,986.69x = 13,173,331.21
  5. Step 5: Solve for x
    x = 13,173,331.21/3,986.69
  6. Step 6: Final answer
    x = 3,304.33

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1.5x scale

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.