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Finding the Fourth Proportional to 5,541.89, 8,316.50 and 4,084.47

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Solution

The fourth proportional to 5,541.89, 8,316.50 and 4,084.47 is: 6,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.89 : 8,316.50 = 4,084.47 : x
  2. Step 2: Convert to fraction form
    5,541.89/8,316.50 = 4,084.47/x
  3. Step 3: Cross multiply
    5,541.89x = 8,316.50 × 4,084.47
  4. Step 4: Simplify right side
    5,541.89x = 33,968,474.33
  5. Step 5: Solve for x
    x = 33,968,474.33/5,541.89
  6. Step 6: Final answer
    x = 6,129.41

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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.