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Finding the Fourth Proportional to 3,522.71, 4,861.47 and 1,950.84

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Solution

The fourth proportional to 3,522.71, 4,861.47 and 1,950.84 is: 2,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.71 : 4,861.47 = 1,950.84 : x
  2. Step 2: Convert to fraction form
    3,522.71/4,861.47 = 1,950.84/x
  3. Step 3: Cross multiply
    3,522.71x = 4,861.47 × 1,950.84
  4. Step 4: Simplify right side
    3,522.71x = 9,483,950.13
  5. Step 5: Solve for x
    x = 9,483,950.13/3,522.71
  6. Step 6: Final answer
    x = 2,692.24

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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.