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Finding the Fourth Proportional to 2,936.96, 4,398.15 and 2,452.16

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Solution

The fourth proportional to 2,936.96, 4,398.15 and 2,452.16 is: 3,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.96 : 4,398.15 = 2,452.16 : x
  2. Step 2: Convert to fraction form
    2,936.96/4,398.15 = 2,452.16/x
  3. Step 3: Cross multiply
    2,936.96x = 4,398.15 × 2,452.16
  4. Step 4: Simplify right side
    2,936.96x = 10,784,967.50
  5. Step 5: Solve for x
    x = 10,784,967.50/2,936.96
  6. Step 6: Final answer
    x = 3,672.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.