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Finding the Fourth Proportional to 3,334.59, 5,005.02 and 1,692.31

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Solution

The fourth proportional to 3,334.59, 5,005.02 and 1,692.31 is: 2,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.59 : 5,005.02 = 1,692.31 : x
  2. Step 2: Convert to fraction form
    3,334.59/5,005.02 = 1,692.31/x
  3. Step 3: Cross multiply
    3,334.59x = 5,005.02 × 1,692.31
  4. Step 4: Simplify right side
    3,334.59x = 8,470,045.31
  5. Step 5: Solve for x
    x = 8,470,045.31/3,334.59
  6. Step 6: Final answer
    x = 2,540.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.