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Finding the Fourth Proportional to 3,787.54, 5,681.50 and 1,190.50

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Solution

The fourth proportional to 3,787.54, 5,681.50 and 1,190.50 is: 1,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.54 : 5,681.50 = 1,190.50 : x
  2. Step 2: Convert to fraction form
    3,787.54/5,681.50 = 1,190.50/x
  3. Step 3: Cross multiply
    3,787.54x = 5,681.50 × 1,190.50
  4. Step 4: Simplify right side
    3,787.54x = 6,763,825.75
  5. Step 5: Solve for x
    x = 6,763,825.75/3,787.54
  6. Step 6: Final answer
    x = 1,785.81

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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.