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Finding the Fourth Proportional to 5,207.84, 7,813.58 and 3,257.76

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Solution

The fourth proportional to 5,207.84, 7,813.58 and 3,257.76 is: 4,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.84 : 7,813.58 = 3,257.76 : x
  2. Step 2: Convert to fraction form
    5,207.84/7,813.58 = 3,257.76/x
  3. Step 3: Cross multiply
    5,207.84x = 7,813.58 × 3,257.76
  4. Step 4: Simplify right side
    5,207.84x = 25,454,768.38
  5. Step 5: Solve for x
    x = 25,454,768.38/5,207.84
  6. Step 6: Final answer
    x = 4,887.78

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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.