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Finding the Fourth Proportional to 3,668.12, 5,498.94 and 1,358.12

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Solution

The fourth proportional to 3,668.12, 5,498.94 and 1,358.12 is: 2,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.12 : 5,498.94 = 1,358.12 : x
  2. Step 2: Convert to fraction form
    3,668.12/5,498.94 = 1,358.12/x
  3. Step 3: Cross multiply
    3,668.12x = 5,498.94 × 1,358.12
  4. Step 4: Simplify right side
    3,668.12x = 7,468,220.39
  5. Step 5: Solve for x
    x = 7,468,220.39/3,668.12
  6. Step 6: Final answer
    x = 2,035.98

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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.