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Finding the Fourth Proportional to 4,882.50, 6,737.04 and 2,758.14

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Solution

The fourth proportional to 4,882.50, 6,737.04 and 2,758.14 is: 3,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.50 : 6,737.04 = 2,758.14 : x
  2. Step 2: Convert to fraction form
    4,882.50/6,737.04 = 2,758.14/x
  3. Step 3: Cross multiply
    4,882.50x = 6,737.04 × 2,758.14
  4. Step 4: Simplify right side
    4,882.50x = 18,581,699.51
  5. Step 5: Solve for x
    x = 18,581,699.51/4,882.50
  6. Step 6: Final answer
    x = 3,805.78

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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.