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Finding the Fourth Proportional to 5,980.74, 8,976.54 and 3,782.82

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Solution

The fourth proportional to 5,980.74, 8,976.54 and 3,782.82 is: 5,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.74 : 8,976.54 = 3,782.82 : x
  2. Step 2: Convert to fraction form
    5,980.74/8,976.54 = 3,782.82/x
  3. Step 3: Cross multiply
    5,980.74x = 8,976.54 × 3,782.82
  4. Step 4: Simplify right side
    5,980.74x = 33,956,635.04
  5. Step 5: Solve for x
    x = 33,956,635.04/5,980.74
  6. Step 6: Final answer
    x = 5,677.66

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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.