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Finding the Fourth Proportional to 5,842.42, 8,052.93 and 4,141.49

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Solution

The fourth proportional to 5,842.42, 8,052.93 and 4,141.49 is: 5,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.42 : 8,052.93 = 4,141.49 : x
  2. Step 2: Convert to fraction form
    5,842.42/8,052.93 = 4,141.49/x
  3. Step 3: Cross multiply
    5,842.42x = 8,052.93 × 4,141.49
  4. Step 4: Simplify right side
    5,842.42x = 33,351,129.07
  5. Step 5: Solve for x
    x = 33,351,129.07/5,842.42
  6. Step 6: Final answer
    x = 5,708.45

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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.