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Finding the Fourth Proportional to 3,522.81, 4,861.52 and 1,950.94

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Solution

The fourth proportional to 3,522.81, 4,861.52 and 1,950.94 is: 2,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.81 : 4,861.52 = 1,950.94 : x
  2. Step 2: Convert to fraction form
    3,522.81/4,861.52 = 1,950.94/x
  3. Step 3: Cross multiply
    3,522.81x = 4,861.52 × 1,950.94
  4. Step 4: Simplify right side
    3,522.81x = 9,484,533.83
  5. Step 5: Solve for x
    x = 9,484,533.83/3,522.81
  6. Step 6: Final answer
    x = 2,692.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.