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Finding the Fourth Proportional to 5,327.94, 7,353 and 2,969.76

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Solution

The fourth proportional to 5,327.94, 7,353 and 2,969.76 is: 4,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.94 : 7,353 = 2,969.76 : x
  2. Step 2: Convert to fraction form
    5,327.94/7,353 = 2,969.76/x
  3. Step 3: Cross multiply
    5,327.94x = 7,353 × 2,969.76
  4. Step 4: Simplify right side
    5,327.94x = 21,836,645.28
  5. Step 5: Solve for x
    x = 21,836,645.28/5,327.94
  6. Step 6: Final answer
    x = 4,098.52

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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.