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Finding the Fourth Proportional to 5,692.66, 7,857.75 and 3,334.75

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Solution

The fourth proportional to 5,692.66, 7,857.75 and 3,334.75 is: 4,603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.66 : 7,857.75 = 3,334.75 : x
  2. Step 2: Convert to fraction form
    5,692.66/7,857.75 = 3,334.75/x
  3. Step 3: Cross multiply
    5,692.66x = 7,857.75 × 3,334.75
  4. Step 4: Simplify right side
    5,692.66x = 26,203,631.81
  5. Step 5: Solve for x
    x = 26,203,631.81/5,692.66
  6. Step 6: Final answer
    x = 4,603.06

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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.