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Finding the Fourth Proportional to 4,153.28, 6,229.28 and 1,380

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Solution

The fourth proportional to 4,153.28, 6,229.28 and 1,380 is: 2,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.28 : 6,229.28 = 1,380 : x
  2. Step 2: Convert to fraction form
    4,153.28/6,229.28 = 1,380/x
  3. Step 3: Cross multiply
    4,153.28x = 6,229.28 × 1,380
  4. Step 4: Simplify right side
    4,153.28x = 8,596,406.40
  5. Step 5: Solve for x
    x = 8,596,406.40/4,153.28
  6. Step 6: Final answer
    x = 2,069.79

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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.