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Finding the Fourth Proportional to 3,787.73, 5,683.64 and 1,597.98

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Solution

The fourth proportional to 3,787.73, 5,683.64 and 1,597.98 is: 2,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.73 : 5,683.64 = 1,597.98 : x
  2. Step 2: Convert to fraction form
    3,787.73/5,683.64 = 1,597.98/x
  3. Step 3: Cross multiply
    3,787.73x = 5,683.64 × 1,597.98
  4. Step 4: Simplify right side
    3,787.73x = 9,082,343.05
  5. Step 5: Solve for x
    x = 9,082,343.05/3,787.73
  6. Step 6: Final answer
    x = 2,397.83

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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.