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Finding the Fourth Proportional to 3,406.37, 4,692.35 and 2,963.48

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Solution

The fourth proportional to 3,406.37, 4,692.35 and 2,963.48 is: 4,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.37 : 4,692.35 = 2,963.48 : x
  2. Step 2: Convert to fraction form
    3,406.37/4,692.35 = 2,963.48/x
  3. Step 3: Cross multiply
    3,406.37x = 4,692.35 × 2,963.48
  4. Step 4: Simplify right side
    3,406.37x = 13,905,670.56
  5. Step 5: Solve for x
    x = 13,905,670.56/3,406.37
  6. Step 6: Final answer
    x = 4,082.25

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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.