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Finding the Fourth Proportional to 6,339.82, 9,510.84 and 2,180.26

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Solution

The fourth proportional to 6,339.82, 9,510.84 and 2,180.26 is: 3,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.82 : 9,510.84 = 2,180.26 : x
  2. Step 2: Convert to fraction form
    6,339.82/9,510.84 = 2,180.26/x
  3. Step 3: Cross multiply
    6,339.82x = 9,510.84 × 2,180.26
  4. Step 4: Simplify right side
    6,339.82x = 20,736,104.02
  5. Step 5: Solve for x
    x = 20,736,104.02/6,339.82
  6. Step 6: Final answer
    x = 3,270.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.