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Finding the Fourth Proportional to 5,730.21, 7,908.02 and 3,213.15

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Solution

The fourth proportional to 5,730.21, 7,908.02 and 3,213.15 is: 4,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.21 : 7,908.02 = 3,213.15 : x
  2. Step 2: Convert to fraction form
    5,730.21/7,908.02 = 3,213.15/x
  3. Step 3: Cross multiply
    5,730.21x = 7,908.02 × 3,213.15
  4. Step 4: Simplify right side
    5,730.21x = 25,409,654.46
  5. Step 5: Solve for x
    x = 25,409,654.46/5,730.21
  6. Step 6: Final answer
    x = 4,434.33

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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.