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Finding the Fourth Proportional to 5,327.61, 7,993.08 and 2,209.08

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Solution

The fourth proportional to 5,327.61, 7,993.08 and 2,209.08 is: 3,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.61 : 7,993.08 = 2,209.08 : x
  2. Step 2: Convert to fraction form
    5,327.61/7,993.08 = 2,209.08/x
  3. Step 3: Cross multiply
    5,327.61x = 7,993.08 × 2,209.08
  4. Step 4: Simplify right side
    5,327.61x = 17,657,383.14
  5. Step 5: Solve for x
    x = 17,657,383.14/5,327.61
  6. Step 6: Final answer
    x = 3,314.32

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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.