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Finding the Fourth Proportional to 4,842.36, 7,241.64 and 3,731.58

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Solution

The fourth proportional to 4,842.36, 7,241.64 and 3,731.58 is: 5,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.36 : 7,241.64 = 3,731.58 : x
  2. Step 2: Convert to fraction form
    4,842.36/7,241.64 = 3,731.58/x
  3. Step 3: Cross multiply
    4,842.36x = 7,241.64 × 3,731.58
  4. Step 4: Simplify right side
    4,842.36x = 27,022,758.99
  5. Step 5: Solve for x
    x = 27,022,758.99/4,842.36
  6. Step 6: Final answer
    x = 5,580.49

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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.