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Finding the Fourth Proportional to 5,602.12, 7,731.68 and 3,213.04

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Solution

The fourth proportional to 5,602.12, 7,731.68 and 3,213.04 is: 4,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.12 : 7,731.68 = 3,213.04 : x
  2. Step 2: Convert to fraction form
    5,602.12/7,731.68 = 3,213.04/x
  3. Step 3: Cross multiply
    5,602.12x = 7,731.68 × 3,213.04
  4. Step 4: Simplify right side
    5,602.12x = 24,842,197.11
  5. Step 5: Solve for x
    x = 24,842,197.11/5,602.12
  6. Step 6: Final answer
    x = 4,434.43

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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.