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Finding the Fourth Proportional to 5,541.49, 8,309.53 and 1,842.45

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Solution

The fourth proportional to 5,541.49, 8,309.53 and 1,842.45 is: 2,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.49 : 8,309.53 = 1,842.45 : x
  2. Step 2: Convert to fraction form
    5,541.49/8,309.53 = 1,842.45/x
  3. Step 3: Cross multiply
    5,541.49x = 8,309.53 × 1,842.45
  4. Step 4: Simplify right side
    5,541.49x = 15,309,893.55
  5. Step 5: Solve for x
    x = 15,309,893.55/5,541.49
  6. Step 6: Final answer
    x = 2,762.78

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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.