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Finding the Fourth Proportional to 4,666.26, 7,001.82 and 3,673.00

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Solution

The fourth proportional to 4,666.26, 7,001.82 and 3,673.00 is: 5,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.26 : 7,001.82 = 3,673.00 : x
  2. Step 2: Convert to fraction form
    4,666.26/7,001.82 = 3,673.00/x
  3. Step 3: Cross multiply
    4,666.26x = 7,001.82 × 3,673.00
  4. Step 4: Simplify right side
    4,666.26x = 25,717,667.36
  5. Step 5: Solve for x
    x = 25,717,667.36/4,666.26
  6. Step 6: Final answer
    x = 5,511.41

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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.