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Finding the Fourth Proportional to 5,692.49, 7,851.18 and 3,703.68

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Solution

The fourth proportional to 5,692.49, 7,851.18 and 3,703.68 is: 5,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.49 : 7,851.18 = 3,703.68 : x
  2. Step 2: Convert to fraction form
    5,692.49/7,851.18 = 3,703.68/x
  3. Step 3: Cross multiply
    5,692.49x = 7,851.18 × 3,703.68
  4. Step 4: Simplify right side
    5,692.49x = 29,078,258.34
  5. Step 5: Solve for x
    x = 29,078,258.34/5,692.49
  6. Step 6: Final answer
    x = 5,108.18

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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.