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Finding the Fourth Proportional to 5,321.01, 7,965.09 and 3,468.14

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Solution

The fourth proportional to 5,321.01, 7,965.09 and 3,468.14 is: 5,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.01 : 7,965.09 = 3,468.14 : x
  2. Step 2: Convert to fraction form
    5,321.01/7,965.09 = 3,468.14/x
  3. Step 3: Cross multiply
    5,321.01x = 7,965.09 × 3,468.14
  4. Step 4: Simplify right side
    5,321.01x = 27,624,047.23
  5. Step 5: Solve for x
    x = 27,624,047.23/5,321.01
  6. Step 6: Final answer
    x = 5,191.50

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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.