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Finding the Fourth Proportional to 3,734.38, 5,152.44 and 2,407.60

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Solution

The fourth proportional to 3,734.38, 5,152.44 and 2,407.60 is: 3,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.38 : 5,152.44 = 2,407.60 : x
  2. Step 2: Convert to fraction form
    3,734.38/5,152.44 = 2,407.60/x
  3. Step 3: Cross multiply
    3,734.38x = 5,152.44 × 2,407.60
  4. Step 4: Simplify right side
    3,734.38x = 12,405,014.54
  5. Step 5: Solve for x
    x = 12,405,014.54/3,734.38
  6. Step 6: Final answer
    x = 3,321.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.