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Finding the Fourth Proportional to 3,902.96, 5,852.00 and 1,650.34

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Solution

The fourth proportional to 3,902.96, 5,852.00 and 1,650.34 is: 2,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.96 : 5,852.00 = 1,650.34 : x
  2. Step 2: Convert to fraction form
    3,902.96/5,852.00 = 1,650.34/x
  3. Step 3: Cross multiply
    3,902.96x = 5,852.00 × 1,650.34
  4. Step 4: Simplify right side
    3,902.96x = 9,657,772.99
  5. Step 5: Solve for x
    x = 9,657,772.99/3,902.96
  6. Step 6: Final answer
    x = 2,474.47

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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.