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Finding the Fourth Proportional to 3,734.50, 5,600.46 and 1,655.96

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Solution

The fourth proportional to 3,734.50, 5,600.46 and 1,655.96 is: 2,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.50 : 5,600.46 = 1,655.96 : x
  2. Step 2: Convert to fraction form
    3,734.50/5,600.46 = 1,655.96/x
  3. Step 3: Cross multiply
    3,734.50x = 5,600.46 × 1,655.96
  4. Step 4: Simplify right side
    3,734.50x = 9,274,129.82
  5. Step 5: Solve for x
    x = 9,274,129.82/3,734.50
  6. Step 6: Final answer
    x = 2,483.37

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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.