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Finding the Fourth Proportional to 5,713.08, 7,882.84 and 3,353.84

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Solution

The fourth proportional to 5,713.08, 7,882.84 and 3,353.84 is: 4,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.08 : 7,882.84 = 3,353.84 : x
  2. Step 2: Convert to fraction form
    5,713.08/7,882.84 = 3,353.84/x
  3. Step 3: Cross multiply
    5,713.08x = 7,882.84 × 3,353.84
  4. Step 4: Simplify right side
    5,713.08x = 26,437,784.11
  5. Step 5: Solve for x
    x = 26,437,784.11/5,713.08
  6. Step 6: Final answer
    x = 4,627.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.