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Finding the Fourth Proportional to 3,668.86, 5,062.23 and 2,177.27

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Solution

The fourth proportional to 3,668.86, 5,062.23 and 2,177.27 is: 3,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.86 : 5,062.23 = 2,177.27 : x
  2. Step 2: Convert to fraction form
    3,668.86/5,062.23 = 2,177.27/x
  3. Step 3: Cross multiply
    3,668.86x = 5,062.23 × 2,177.27
  4. Step 4: Simplify right side
    3,668.86x = 11,021,816.20
  5. Step 5: Solve for x
    x = 11,021,816.20/3,668.86
  6. Step 6: Final answer
    x = 3,004.16

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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.