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Finding the Fourth Proportional to 4,936.64, 7,406.78 and 2,337.75

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Solution

The fourth proportional to 4,936.64, 7,406.78 and 2,337.75 is: 3,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.64 : 7,406.78 = 2,337.75 : x
  2. Step 2: Convert to fraction form
    4,936.64/7,406.78 = 2,337.75/x
  3. Step 3: Cross multiply
    4,936.64x = 7,406.78 × 2,337.75
  4. Step 4: Simplify right side
    4,936.64x = 17,315,188.26
  5. Step 5: Solve for x
    x = 17,315,188.26/4,936.64
  6. Step 6: Final answer
    x = 3,507.49

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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.