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Finding the Fourth Proportional to 3,731.76, 5,597.84 and 1,650.80

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Solution

The fourth proportional to 3,731.76, 5,597.84 and 1,650.80 is: 2,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.76 : 5,597.84 = 1,650.80 : x
  2. Step 2: Convert to fraction form
    3,731.76/5,597.84 = 1,650.80/x
  3. Step 3: Cross multiply
    3,731.76x = 5,597.84 × 1,650.80
  4. Step 4: Simplify right side
    3,731.76x = 9,240,914.27
  5. Step 5: Solve for x
    x = 9,240,914.27/3,731.76
  6. Step 6: Final answer
    x = 2,476.29

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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.