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Finding the Fourth Proportional to 3,747, 5,620.46 and 2,925.96

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Solution

The fourth proportional to 3,747, 5,620.46 and 2,925.96 is: 4,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747 : 5,620.46 = 2,925.96 : x
  2. Step 2: Convert to fraction form
    3,747/5,620.46 = 2,925.96/x
  3. Step 3: Cross multiply
    3,747x = 5,620.46 × 2,925.96
  4. Step 4: Simplify right side
    3,747x = 16,445,241.14
  5. Step 5: Solve for x
    x = 16,445,241.14/3,747
  6. Step 6: Final answer
    x = 4,388.91

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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.