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Finding the Fourth Proportional to 5,692.16, 7,857.06 and 3,334.25

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Solution

The fourth proportional to 5,692.16, 7,857.06 and 3,334.25 is: 4,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.16 : 7,857.06 = 3,334.25 : x
  2. Step 2: Convert to fraction form
    5,692.16/7,857.06 = 3,334.25/x
  3. Step 3: Cross multiply
    5,692.16x = 7,857.06 × 3,334.25
  4. Step 4: Simplify right side
    5,692.16x = 26,197,402.31
  5. Step 5: Solve for x
    x = 26,197,402.31/5,692.16
  6. Step 6: Final answer
    x = 4,602.37

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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.