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Finding the Fourth Proportional to 5,741.90, 7,923.23 and 3,853.10

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Solution

The fourth proportional to 5,741.90, 7,923.23 and 3,853.10 is: 5,316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.90 : 7,923.23 = 3,853.10 : x
  2. Step 2: Convert to fraction form
    5,741.90/7,923.23 = 3,853.10/x
  3. Step 3: Cross multiply
    5,741.90x = 7,923.23 × 3,853.10
  4. Step 4: Simplify right side
    5,741.90x = 30,528,978.25
  5. Step 5: Solve for x
    x = 30,528,978.25/5,741.90
  6. Step 6: Final answer
    x = 5,316.88

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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.