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Finding the Fourth Proportional to 3,906, 5,852.82 and 2,737.98

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Solution

The fourth proportional to 3,906, 5,852.82 and 2,737.98 is: 4,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906 : 5,852.82 = 2,737.98 : x
  2. Step 2: Convert to fraction form
    3,906/5,852.82 = 2,737.98/x
  3. Step 3: Cross multiply
    3,906x = 5,852.82 × 2,737.98
  4. Step 4: Simplify right side
    3,906x = 16,024,904.10
  5. Step 5: Solve for x
    x = 16,024,904.10/3,906
  6. Step 6: Final answer
    x = 4,102.64

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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.