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Finding the Fourth Proportional to 5,756, 7,943.40 and 3,400.64

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Solution

The fourth proportional to 5,756, 7,943.40 and 3,400.64 is: 4,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756 : 7,943.40 = 3,400.64 : x
  2. Step 2: Convert to fraction form
    5,756/7,943.40 = 3,400.64/x
  3. Step 3: Cross multiply
    5,756x = 7,943.40 × 3,400.64
  4. Step 4: Simplify right side
    5,756x = 27,012,643.78
  5. Step 5: Solve for x
    x = 27,012,643.78/5,756
  6. Step 6: Final answer
    x = 4,692.95

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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.