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Finding the Fourth Proportional to 4,129.72, 5,692.68 and 2,533.41

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Solution

The fourth proportional to 4,129.72, 5,692.68 and 2,533.41 is: 3,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.72 : 5,692.68 = 2,533.41 : x
  2. Step 2: Convert to fraction form
    4,129.72/5,692.68 = 2,533.41/x
  3. Step 3: Cross multiply
    4,129.72x = 5,692.68 × 2,533.41
  4. Step 4: Simplify right side
    4,129.72x = 14,421,892.44
  5. Step 5: Solve for x
    x = 14,421,892.44/4,129.72
  6. Step 6: Final answer
    x = 3,492.22

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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.