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Finding the Fourth Proportional to 3,758.98, 5,634.21 and 2,715.30

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Solution

The fourth proportional to 3,758.98, 5,634.21 and 2,715.30 is: 4,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.98 : 5,634.21 = 2,715.30 : x
  2. Step 2: Convert to fraction form
    3,758.98/5,634.21 = 2,715.30/x
  3. Step 3: Cross multiply
    3,758.98x = 5,634.21 × 2,715.30
  4. Step 4: Simplify right side
    3,758.98x = 15,298,570.41
  5. Step 5: Solve for x
    x = 15,298,570.41/3,758.98
  6. Step 6: Final answer
    x = 4,069.87

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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.