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Finding the Fourth Proportional to 3,787.96, 5,682.74 and 1,597.72

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Solution

The fourth proportional to 3,787.96, 5,682.74 and 1,597.72 is: 2,396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.96 : 5,682.74 = 1,597.72 : x
  2. Step 2: Convert to fraction form
    3,787.96/5,682.74 = 1,597.72/x
  3. Step 3: Cross multiply
    3,787.96x = 5,682.74 × 1,597.72
  4. Step 4: Simplify right side
    3,787.96x = 9,079,427.35
  5. Step 5: Solve for x
    x = 9,079,427.35/3,787.96
  6. Step 6: Final answer
    x = 2,396.92

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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.