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Finding the Fourth Proportional to 5,541.07, 8,308.50 and 1,842.31

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Solution

The fourth proportional to 5,541.07, 8,308.50 and 1,842.31 is: 2,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.07 : 8,308.50 = 1,842.31 : x
  2. Step 2: Convert to fraction form
    5,541.07/8,308.50 = 1,842.31/x
  3. Step 3: Cross multiply
    5,541.07x = 8,308.50 × 1,842.31
  4. Step 4: Simplify right side
    5,541.07x = 15,306,832.64
  5. Step 5: Solve for x
    x = 15,306,832.64/5,541.07
  6. Step 6: Final answer
    x = 2,762.43

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Why These Related Problems?

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