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Finding the Fourth Proportional to 5,838.81, 8,058.30 and 3,853.50

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Solution

The fourth proportional to 5,838.81, 8,058.30 and 3,853.50 is: 5,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.81 : 8,058.30 = 3,853.50 : x
  2. Step 2: Convert to fraction form
    5,838.81/8,058.30 = 3,853.50/x
  3. Step 3: Cross multiply
    5,838.81x = 8,058.30 × 3,853.50
  4. Step 4: Simplify right side
    5,838.81x = 31,052,693.65
  5. Step 5: Solve for x
    x = 31,052,693.65/5,838.81
  6. Step 6: Final answer
    x = 5,318.32

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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.