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Finding the Fourth Proportional to 4,797.28, 7,196.46 and 1,509.49

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Solution

The fourth proportional to 4,797.28, 7,196.46 and 1,509.49 is: 2,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.28 : 7,196.46 = 1,509.49 : x
  2. Step 2: Convert to fraction form
    4,797.28/7,196.46 = 1,509.49/x
  3. Step 3: Cross multiply
    4,797.28x = 7,196.46 × 1,509.49
  4. Step 4: Simplify right side
    4,797.28x = 10,862,984.41
  5. Step 5: Solve for x
    x = 10,862,984.41/4,797.28
  6. Step 6: Final answer
    x = 2,264.40

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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.