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Finding the Fourth Proportional to 3,668.25, 5,502.38 and 1,616.25

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Solution

The fourth proportional to 3,668.25, 5,502.38 and 1,616.25 is: 2,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.25 : 5,502.38 = 1,616.25 : x
  2. Step 2: Convert to fraction form
    3,668.25/5,502.38 = 1,616.25/x
  3. Step 3: Cross multiply
    3,668.25x = 5,502.38 × 1,616.25
  4. Step 4: Simplify right side
    3,668.25x = 8,893,213.59
  5. Step 5: Solve for x
    x = 8,893,213.59/3,668.25
  6. Step 6: Final answer
    x = 2,424.38

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1.5x scale

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.