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Finding the Fourth Proportional to 4,907.28, 7,361.04 and 1,444.80

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Solution

The fourth proportional to 4,907.28, 7,361.04 and 1,444.80 is: 2,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.28 : 7,361.04 = 1,444.80 : x
  2. Step 2: Convert to fraction form
    4,907.28/7,361.04 = 1,444.80/x
  3. Step 3: Cross multiply
    4,907.28x = 7,361.04 × 1,444.80
  4. Step 4: Simplify right side
    4,907.28x = 10,635,230.59
  5. Step 5: Solve for x
    x = 10,635,230.59/4,907.28
  6. Step 6: Final answer
    x = 2,167.24

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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.