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Finding the Fourth Proportional to 3,792.84, 5,692.82 and 2,334.84

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Solution

The fourth proportional to 3,792.84, 5,692.82 and 2,334.84 is: 3,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.84 : 5,692.82 = 2,334.84 : x
  2. Step 2: Convert to fraction form
    3,792.84/5,692.82 = 2,334.84/x
  3. Step 3: Cross multiply
    3,792.84x = 5,692.82 × 2,334.84
  4. Step 4: Simplify right side
    3,792.84x = 13,291,812.17
  5. Step 5: Solve for x
    x = 13,291,812.17/3,792.84
  6. Step 6: Final answer
    x = 3,504.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.