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Finding the Fourth Proportional to 3,445.28, 5,143.04 and 3,212

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Solution

The fourth proportional to 3,445.28, 5,143.04 and 3,212 is: 4,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.28 : 5,143.04 = 3,212 : x
  2. Step 2: Convert to fraction form
    3,445.28/5,143.04 = 3,212/x
  3. Step 3: Cross multiply
    3,445.28x = 5,143.04 × 3,212
  4. Step 4: Simplify right side
    3,445.28x = 16,519,444.48
  5. Step 5: Solve for x
    x = 16,519,444.48/3,445.28
  6. Step 6: Final answer
    x = 4,794.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.