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Finding the Fourth Proportional to 3,692.52, 5,091.39 and 3,430.08

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Solution

The fourth proportional to 3,692.52, 5,091.39 and 3,430.08 is: 4,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.52 : 5,091.39 = 3,430.08 : x
  2. Step 2: Convert to fraction form
    3,692.52/5,091.39 = 3,430.08/x
  3. Step 3: Cross multiply
    3,692.52x = 5,091.39 × 3,430.08
  4. Step 4: Simplify right side
    3,692.52x = 17,463,875.01
  5. Step 5: Solve for x
    x = 17,463,875.01/3,692.52
  6. Step 6: Final answer
    x = 4,729.53

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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.