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Finding the Fourth Proportional to 3,674.13, 5,513.16 and 2,442.12

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Solution

The fourth proportional to 3,674.13, 5,513.16 and 2,442.12 is: 3,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.13 : 5,513.16 = 2,442.12 : x
  2. Step 2: Convert to fraction form
    3,674.13/5,513.16 = 2,442.12/x
  3. Step 3: Cross multiply
    3,674.13x = 5,513.16 × 2,442.12
  4. Step 4: Simplify right side
    3,674.13x = 13,463,786.78
  5. Step 5: Solve for x
    x = 13,463,786.78/3,674.13
  6. Step 6: Final answer
    x = 3,664.49

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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.