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Finding the Fourth Proportional to 3,213.96, 4,818.51 and 2,564.34

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Solution

The fourth proportional to 3,213.96, 4,818.51 and 2,564.34 is: 3,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.96 : 4,818.51 = 2,564.34 : x
  2. Step 2: Convert to fraction form
    3,213.96/4,818.51 = 2,564.34/x
  3. Step 3: Cross multiply
    3,213.96x = 4,818.51 × 2,564.34
  4. Step 4: Simplify right side
    3,213.96x = 12,356,297.93
  5. Step 5: Solve for x
    x = 12,356,297.93/3,213.96
  6. Step 6: Final answer
    x = 3,844.57

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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.