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Finding the Fourth Proportional to 6,571.59, 9,857.20 and 2,189.08

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Solution

The fourth proportional to 6,571.59, 9,857.20 and 2,189.08 is: 3,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.59 : 9,857.20 = 2,189.08 : x
  2. Step 2: Convert to fraction form
    6,571.59/9,857.20 = 2,189.08/x
  3. Step 3: Cross multiply
    6,571.59x = 9,857.20 × 2,189.08
  4. Step 4: Simplify right side
    6,571.59x = 21,578,199.38
  5. Step 5: Solve for x
    x = 21,578,199.38/6,571.59
  6. Step 6: Final answer
    x = 3,283.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.