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Finding the Fourth Proportional to 6,342.08, 9,510.78 and 2,180.90

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Solution

The fourth proportional to 6,342.08, 9,510.78 and 2,180.90 is: 3,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.08 : 9,510.78 = 2,180.90 : x
  2. Step 2: Convert to fraction form
    6,342.08/9,510.78 = 2,180.90/x
  3. Step 3: Cross multiply
    6,342.08x = 9,510.78 × 2,180.90
  4. Step 4: Simplify right side
    6,342.08x = 20,742,092.06
  5. Step 5: Solve for x
    x = 20,742,092.06/6,342.08
  6. Step 6: Final answer
    x = 3,270.55

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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.