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Finding the Fourth Proportional to 3,522.66, 4,861.14 and 1,950.78

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Solution

The fourth proportional to 3,522.66, 4,861.14 and 1,950.78 is: 2,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.66 : 4,861.14 = 1,950.78 : x
  2. Step 2: Convert to fraction form
    3,522.66/4,861.14 = 1,950.78/x
  3. Step 3: Cross multiply
    3,522.66x = 4,861.14 × 1,950.78
  4. Step 4: Simplify right side
    3,522.66x = 9,483,014.69
  5. Step 5: Solve for x
    x = 9,483,014.69/3,522.66
  6. Step 6: Final answer
    x = 2,692.00

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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.