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Finding the Fourth Proportional to 5,838.12, 8,058.42 and 3,741.84

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Solution

The fourth proportional to 5,838.12, 8,058.42 and 3,741.84 is: 5,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.12 : 8,058.42 = 3,741.84 : x
  2. Step 2: Convert to fraction form
    5,838.12/8,058.42 = 3,741.84/x
  3. Step 3: Cross multiply
    5,838.12x = 8,058.42 × 3,741.84
  4. Step 4: Simplify right side
    5,838.12x = 30,153,318.29
  5. Step 5: Solve for x
    x = 30,153,318.29/5,838.12
  6. Step 6: Final answer
    x = 5,164.90

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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.