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Finding the Fourth Proportional to 3,787.44, 5,677.64 and 3,476

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Solution

The fourth proportional to 3,787.44, 5,677.64 and 3,476 is: 5,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.44 : 5,677.64 = 3,476 : x
  2. Step 2: Convert to fraction form
    3,787.44/5,677.64 = 3,476/x
  3. Step 3: Cross multiply
    3,787.44x = 5,677.64 × 3,476
  4. Step 4: Simplify right side
    3,787.44x = 19,735,476.64
  5. Step 5: Solve for x
    x = 19,735,476.64/3,787.44
  6. Step 6: Final answer
    x = 5,210.77

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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.