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Finding the Fourth Proportional to 3,668.62, 5,062.65 and 1,990

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Solution

The fourth proportional to 3,668.62, 5,062.65 and 1,990 is: 2,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.62 : 5,062.65 = 1,990 : x
  2. Step 2: Convert to fraction form
    3,668.62/5,062.65 = 1,990/x
  3. Step 3: Cross multiply
    3,668.62x = 5,062.65 × 1,990
  4. Step 4: Simplify right side
    3,668.62x = 10,074,673.50
  5. Step 5: Solve for x
    x = 10,074,673.50/3,668.62
  6. Step 6: Final answer
    x = 2,746.18

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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.