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Finding the Fourth Proportional to 4,787.49, 7,180.63 and 1,865.42

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Solution

The fourth proportional to 4,787.49, 7,180.63 and 1,865.42 is: 2,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.49 : 7,180.63 = 1,865.42 : x
  2. Step 2: Convert to fraction form
    4,787.49/7,180.63 = 1,865.42/x
  3. Step 3: Cross multiply
    4,787.49x = 7,180.63 × 1,865.42
  4. Step 4: Simplify right side
    4,787.49x = 13,394,890.81
  5. Step 5: Solve for x
    x = 13,394,890.81/4,787.49
  6. Step 6: Final answer
    x = 2,797.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.