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Finding the Fourth Proportional to 3,692.34, 5,096.06 and 3,526.26

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Solution

The fourth proportional to 3,692.34, 5,096.06 and 3,526.26 is: 4,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.34 : 5,096.06 = 3,526.26 : x
  2. Step 2: Convert to fraction form
    3,692.34/5,096.06 = 3,526.26/x
  3. Step 3: Cross multiply
    3,692.34x = 5,096.06 × 3,526.26
  4. Step 4: Simplify right side
    3,692.34x = 17,970,041.35
  5. Step 5: Solve for x
    x = 17,970,041.35/3,692.34
  6. Step 6: Final answer
    x = 4,866.84

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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.