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Finding the Fourth Proportional to 5,346.80, 8,005.80 and 4,194.80

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Solution

The fourth proportional to 5,346.80, 8,005.80 and 4,194.80 is: 6,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.80 : 8,005.80 = 4,194.80 : x
  2. Step 2: Convert to fraction form
    5,346.80/8,005.80 = 4,194.80/x
  3. Step 3: Cross multiply
    5,346.80x = 8,005.80 × 4,194.80
  4. Step 4: Simplify right side
    5,346.80x = 33,582,729.84
  5. Step 5: Solve for x
    x = 33,582,729.84/5,346.80
  6. Step 6: Final answer
    x = 6,280.90

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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.