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Finding the Fourth Proportional to 4,907.43, 7,361.82 and 1,787.04

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Solution

The fourth proportional to 4,907.43, 7,361.82 and 1,787.04 is: 2,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.43 : 7,361.82 = 1,787.04 : x
  2. Step 2: Convert to fraction form
    4,907.43/7,361.82 = 1,787.04/x
  3. Step 3: Cross multiply
    4,907.43x = 7,361.82 × 1,787.04
  4. Step 4: Simplify right side
    4,907.43x = 13,155,866.81
  5. Step 5: Solve for x
    x = 13,155,866.81/4,907.43
  6. Step 6: Final answer
    x = 2,680.81

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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.