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Finding the Fourth Proportional to 4,668.51, 7,001.37 and 3,844.74

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Solution

The fourth proportional to 4,668.51, 7,001.37 and 3,844.74 is: 5,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.51 : 7,001.37 = 3,844.74 : x
  2. Step 2: Convert to fraction form
    4,668.51/7,001.37 = 3,844.74/x
  3. Step 3: Cross multiply
    4,668.51x = 7,001.37 × 3,844.74
  4. Step 4: Simplify right side
    4,668.51x = 26,918,447.29
  5. Step 5: Solve for x
    x = 26,918,447.29/4,668.51
  6. Step 6: Final answer
    x = 5,765.96

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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.