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Finding the Fourth Proportional to 3,692.96, 5,094.72 and 2,366.24

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Solution

The fourth proportional to 3,692.96, 5,094.72 and 2,366.24 is: 3,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.96 : 5,094.72 = 2,366.24 : x
  2. Step 2: Convert to fraction form
    3,692.96/5,094.72 = 2,366.24/x
  3. Step 3: Cross multiply
    3,692.96x = 5,094.72 × 2,366.24
  4. Step 4: Simplify right side
    3,692.96x = 12,055,330.25
  5. Step 5: Solve for x
    x = 12,055,330.25/3,692.96
  6. Step 6: Final answer
    x = 3,264.41

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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.