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Finding the Fourth Proportional to 4,797.38, 7,196.78 and 1,509.38

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Solution

The fourth proportional to 4,797.38, 7,196.78 and 1,509.38 is: 2,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.38 : 7,196.78 = 1,509.38 : x
  2. Step 2: Convert to fraction form
    4,797.38/7,196.78 = 1,509.38/x
  3. Step 3: Cross multiply
    4,797.38x = 7,196.78 × 1,509.38
  4. Step 4: Simplify right side
    4,797.38x = 10,862,675.80
  5. Step 5: Solve for x
    x = 10,862,675.80/4,797.38
  6. Step 6: Final answer
    x = 2,264.29

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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.