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Finding the Fourth Proportional to 5,295.39, 7,941.45 and 3,662.43

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Solution

The fourth proportional to 5,295.39, 7,941.45 and 3,662.43 is: 5,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.39 : 7,941.45 = 3,662.43 : x
  2. Step 2: Convert to fraction form
    5,295.39/7,941.45 = 3,662.43/x
  3. Step 3: Cross multiply
    5,295.39x = 7,941.45 × 3,662.43
  4. Step 4: Simplify right side
    5,295.39x = 29,085,004.72
  5. Step 5: Solve for x
    x = 29,085,004.72/5,295.39
  6. Step 6: Final answer
    x = 5,492.51

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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.