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Finding the Fourth Proportional to 3,602.67, 5,404.83 and 1,137.48

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Solution

The fourth proportional to 3,602.67, 5,404.83 and 1,137.48 is: 1,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.67 : 5,404.83 = 1,137.48 : x
  2. Step 2: Convert to fraction form
    3,602.67/5,404.83 = 1,137.48/x
  3. Step 3: Cross multiply
    3,602.67x = 5,404.83 × 1,137.48
  4. Step 4: Simplify right side
    3,602.67x = 6,147,886.03
  5. Step 5: Solve for x
    x = 6,147,886.03/3,602.67
  6. Step 6: Final answer
    x = 1,706.48

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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.