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Finding the Fourth Proportional to 4,006.67, 6,016.16 and 3,572.00

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Solution

The fourth proportional to 4,006.67, 6,016.16 and 3,572.00 is: 5,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.67 : 6,016.16 = 3,572.00 : x
  2. Step 2: Convert to fraction form
    4,006.67/6,016.16 = 3,572.00/x
  3. Step 3: Cross multiply
    4,006.67x = 6,016.16 × 3,572.00
  4. Step 4: Simplify right side
    4,006.67x = 21,489,704.84
  5. Step 5: Solve for x
    x = 21,489,704.84/4,006.67
  6. Step 6: Final answer
    x = 5,363.49

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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.