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Finding the Fourth Proportional to 3,620, 5,433.64 and 2,446.24

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Solution

The fourth proportional to 3,620, 5,433.64 and 2,446.24 is: 3,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620 : 5,433.64 = 2,446.24 : x
  2. Step 2: Convert to fraction form
    3,620/5,433.64 = 2,446.24/x
  3. Step 3: Cross multiply
    3,620x = 5,433.64 × 2,446.24
  4. Step 4: Simplify right side
    3,620x = 13,291,987.51
  5. Step 5: Solve for x
    x = 13,291,987.51/3,620
  6. Step 6: Final answer
    x = 3,671.82

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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.