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Finding the Fourth Proportional to 3,602.43, 5,403.84 and 1,137.44

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Solution

The fourth proportional to 3,602.43, 5,403.84 and 1,137.44 is: 1,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.43 : 5,403.84 = 1,137.44 : x
  2. Step 2: Convert to fraction form
    3,602.43/5,403.84 = 1,137.44/x
  3. Step 3: Cross multiply
    3,602.43x = 5,403.84 × 1,137.44
  4. Step 4: Simplify right side
    3,602.43x = 6,146,516.75
  5. Step 5: Solve for x
    x = 6,146,516.75/3,602.43
  6. Step 6: Final answer
    x = 1,706.21

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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.