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Finding the Fourth Proportional to 5,238.66, 7,853.67 and 2,158.50

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Solution

The fourth proportional to 5,238.66, 7,853.67 and 2,158.50 is: 3,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.66 : 7,853.67 = 2,158.50 : x
  2. Step 2: Convert to fraction form
    5,238.66/7,853.67 = 2,158.50/x
  3. Step 3: Cross multiply
    5,238.66x = 7,853.67 × 2,158.50
  4. Step 4: Simplify right side
    5,238.66x = 16,952,146.70
  5. Step 5: Solve for x
    x = 16,952,146.70/5,238.66
  6. Step 6: Final answer
    x = 3,235.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.