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Finding the Fourth Proportional to 5,967.98, 8,952.02 and 3,048.33

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Solution

The fourth proportional to 5,967.98, 8,952.02 and 3,048.33 is: 4,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.98 : 8,952.02 = 3,048.33 : x
  2. Step 2: Convert to fraction form
    5,967.98/8,952.02 = 3,048.33/x
  3. Step 3: Cross multiply
    5,967.98x = 8,952.02 × 3,048.33
  4. Step 4: Simplify right side
    5,967.98x = 27,288,740.89
  5. Step 5: Solve for x
    x = 27,288,740.89/5,967.98
  6. Step 6: Final answer
    x = 4,572.53

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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.