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Finding the Fourth Proportional to 4,893.78, 7,336.52 and 1,605.99

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Solution

The fourth proportional to 4,893.78, 7,336.52 and 1,605.99 is: 2,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.78 : 7,336.52 = 1,605.99 : x
  2. Step 2: Convert to fraction form
    4,893.78/7,336.52 = 1,605.99/x
  3. Step 3: Cross multiply
    4,893.78x = 7,336.52 × 1,605.99
  4. Step 4: Simplify right side
    4,893.78x = 11,782,369.72
  5. Step 5: Solve for x
    x = 11,782,369.72/4,893.78
  6. Step 6: Final answer
    x = 2,407.62

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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.