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Finding the Fourth Proportional to 3,941.43, 5,908.95 and 1,602.53

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Solution

The fourth proportional to 3,941.43, 5,908.95 and 1,602.53 is: 2,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.43 : 5,908.95 = 1,602.53 : x
  2. Step 2: Convert to fraction form
    3,941.43/5,908.95 = 1,602.53/x
  3. Step 3: Cross multiply
    3,941.43x = 5,908.95 × 1,602.53
  4. Step 4: Simplify right side
    3,941.43x = 9,469,295.50
  5. Step 5: Solve for x
    x = 9,469,295.50/3,941.43
  6. Step 6: Final answer
    x = 2,402.50

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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.