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Finding the Fourth Proportional to 5,953.18, 8,211.54 and 4,692.28

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Solution

The fourth proportional to 5,953.18, 8,211.54 and 4,692.28 is: 6,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.18 : 8,211.54 = 4,692.28 : x
  2. Step 2: Convert to fraction form
    5,953.18/8,211.54 = 4,692.28/x
  3. Step 3: Cross multiply
    5,953.18x = 8,211.54 × 4,692.28
  4. Step 4: Simplify right side
    5,953.18x = 38,530,844.91
  5. Step 5: Solve for x
    x = 38,530,844.91/5,953.18
  6. Step 6: Final answer
    x = 6,472.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.