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Finding the Fourth Proportional to 5,333, 7,347.88 and 3,983

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Solution

The fourth proportional to 5,333, 7,347.88 and 3,983 is: 5,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333 : 7,347.88 = 3,983 : x
  2. Step 2: Convert to fraction form
    5,333/7,347.88 = 3,983/x
  3. Step 3: Cross multiply
    5,333x = 7,347.88 × 3,983
  4. Step 4: Simplify right side
    5,333x = 29,266,606.04
  5. Step 5: Solve for x
    x = 29,266,606.04/5,333
  6. Step 6: Final answer
    x = 5,487.83

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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.