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Finding the Fourth Proportional to 5,712.14, 7,882.68 and 3,353.82

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Solution

The fourth proportional to 5,712.14, 7,882.68 and 3,353.82 is: 4,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.14 : 7,882.68 = 3,353.82 : x
  2. Step 2: Convert to fraction form
    5,712.14/7,882.68 = 3,353.82/x
  3. Step 3: Cross multiply
    5,712.14x = 7,882.68 × 3,353.82
  4. Step 4: Simplify right side
    5,712.14x = 26,437,089.84
  5. Step 5: Solve for x
    x = 26,437,089.84/5,712.14
  6. Step 6: Final answer
    x = 4,628.23

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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.