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Finding the Fourth Proportional to 5,842.04, 8,050.42 and 4,160.48

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Solution

The fourth proportional to 5,842.04, 8,050.42 and 4,160.48 is: 5,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.04 : 8,050.42 = 4,160.48 : x
  2. Step 2: Convert to fraction form
    5,842.04/8,050.42 = 4,160.48/x
  3. Step 3: Cross multiply
    5,842.04x = 8,050.42 × 4,160.48
  4. Step 4: Simplify right side
    5,842.04x = 33,493,576.35
  5. Step 5: Solve for x
    x = 33,493,576.35/5,842.04
  6. Step 6: Final answer
    x = 5,733.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.