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Finding the Fourth Proportional to 7,181.89, 9,904.05 and 4,791.96

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Solution

The fourth proportional to 7,181.89, 9,904.05 and 4,791.96 is: 6,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.89 : 9,904.05 = 4,791.96 : x
  2. Step 2: Convert to fraction form
    7,181.89/9,904.05 = 4,791.96/x
  3. Step 3: Cross multiply
    7,181.89x = 9,904.05 × 4,791.96
  4. Step 4: Simplify right side
    7,181.89x = 47,459,838.99
  5. Step 5: Solve for x
    x = 47,459,838.99/7,181.89
  6. Step 6: Final answer
    x = 6,608.26

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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.