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Finding the Fourth Proportional to 4,414.52, 6,617.20 and 1,491.84

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Solution

The fourth proportional to 4,414.52, 6,617.20 and 1,491.84 is: 2,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.52 : 6,617.20 = 1,491.84 : x
  2. Step 2: Convert to fraction form
    4,414.52/6,617.20 = 1,491.84/x
  3. Step 3: Cross multiply
    4,414.52x = 6,617.20 × 1,491.84
  4. Step 4: Simplify right side
    4,414.52x = 9,871,803.65
  5. Step 5: Solve for x
    x = 9,871,803.65/4,414.52
  6. Step 6: Final answer
    x = 2,236.21

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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.