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Finding the Fourth Proportional to 5,310.33, 7,327.56 and 2,952

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Solution

The fourth proportional to 5,310.33, 7,327.56 and 2,952 is: 4,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.33 : 7,327.56 = 2,952 : x
  2. Step 2: Convert to fraction form
    5,310.33/7,327.56 = 2,952/x
  3. Step 3: Cross multiply
    5,310.33x = 7,327.56 × 2,952
  4. Step 4: Simplify right side
    5,310.33x = 21,630,957.12
  5. Step 5: Solve for x
    x = 21,630,957.12/5,310.33
  6. Step 6: Final answer
    x = 4,073.37

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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.