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Finding the Fourth Proportional to 3,668.04, 5,062.86 and 2,271.96

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Solution

The fourth proportional to 3,668.04, 5,062.86 and 2,271.96 is: 3,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.04 : 5,062.86 = 2,271.96 : x
  2. Step 2: Convert to fraction form
    3,668.04/5,062.86 = 2,271.96/x
  3. Step 3: Cross multiply
    3,668.04x = 5,062.86 × 2,271.96
  4. Step 4: Simplify right side
    3,668.04x = 11,502,615.41
  5. Step 5: Solve for x
    x = 11,502,615.41/3,668.04
  6. Step 6: Final answer
    x = 3,135.90

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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.