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Finding the Fourth Proportional to 3,668.40, 5,143.05 and 3,668.40

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Solution

The fourth proportional to 3,668.40, 5,143.05 and 3,668.40 is: 5,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.40 : 5,143.05 = 3,668.40 : x
  2. Step 2: Convert to fraction form
    3,668.40/5,143.05 = 3,668.40/x
  3. Step 3: Cross multiply
    3,668.40x = 5,143.05 × 3,668.40
  4. Step 4: Simplify right side
    3,668.40x = 18,866,764.62
  5. Step 5: Solve for x
    x = 18,866,764.62/3,668.40
  6. Step 6: Final answer
    x = 5,143.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.