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Finding the Fourth Proportional to 3,999, 5,522 and 2,509.42

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Solution

The fourth proportional to 3,999, 5,522 and 2,509.42 is: 3,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999 : 5,522 = 2,509.42 : x
  2. Step 2: Convert to fraction form
    3,999/5,522 = 2,509.42/x
  3. Step 3: Cross multiply
    3,999x = 5,522 × 2,509.42
  4. Step 4: Simplify right side
    3,999x = 13,857,017.24
  5. Step 5: Solve for x
    x = 13,857,017.24/3,999
  6. Step 6: Final answer
    x = 3,465.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.