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Finding the Fourth Proportional to 4,909.09, 7,364 and 2,441.38

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Solution

The fourth proportional to 4,909.09, 7,364 and 2,441.38 is: 3,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.09 : 7,364 = 2,441.38 : x
  2. Step 2: Convert to fraction form
    4,909.09/7,364 = 2,441.38/x
  3. Step 3: Cross multiply
    4,909.09x = 7,364 × 2,441.38
  4. Step 4: Simplify right side
    4,909.09x = 17,978,322.32
  5. Step 5: Solve for x
    x = 17,978,322.32/4,909.09
  6. Step 6: Final answer
    x = 3,662.25

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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.